{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f7f49275",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.0]\n",
      "[1.0, -1.0]\n",
      "[1.0, -2.0, 0.5]\n",
      "[1.0, -3.0, 1.5, -0.16666666666666666]\n",
      "[1.0, -4.0, 3.0, -0.6666666666666666, 0.041666666666666664]\n",
      "[1.0]\n",
      "[1.5, -1.0]\n",
      "[1.0]\n",
      "[1.5, -1.0]\n",
      "[2.5, -1.0]\n",
      "[1.0]\n",
      "[1.875, -2.5, 0.5]\n",
      "[2.5, -1.0]\n",
      "[3.5, -1.0]\n",
      "[1.0]\n"
     ]
    }
   ],
   "source": [
    "# 生成拉盖尔多项式和关联拉盖尔多项式\n",
    "import math\n",
    "import numpy as np\n",
    "\n",
    "# Laguerre polynomial\n",
    "# 输出对应k阶拉盖尔多项式系数列表\n",
    "def Laguerre(k):\n",
    "    c_list = []\n",
    "    for j in range(k+1):\n",
    "        c_u = math.factorial(k)\n",
    "        c_l = math.factorial(k-j)*math.pow(math.factorial(j),2)\n",
    "        c = math.pow(-1, j)*c_u/c_l\n",
    "        c_list.append(c)            \n",
    "    return c_list\n",
    "\n",
    "# Factorial function\n",
    "# 分数阶乘函数\n",
    "def Factorial(n):\n",
    "    if n == 0:\n",
    "        return 1\n",
    "    elif n < 0:\n",
    "        print('there is a number < 0 in the Factorial function!')\n",
    "        return 1\n",
    "    else:\n",
    "        s = 1\n",
    "        while n > 0:\n",
    "            s *= n\n",
    "            n -= 1\n",
    "        return s\n",
    "\n",
    "# Associated Laguerre polynomials \n",
    "# 输出对应k阶参数p的关联拉盖尔多项式系数列表\n",
    "def Associate_Laguerre(k, p):\n",
    "    c_list = []\n",
    "    for j in range(k+1):\n",
    "        c_u = Factorial(k+p)\n",
    "        c_l = Factorial(k-j)*Factorial(p+j)*Factorial(j)\n",
    "        c = math.pow(-1, j)*c_u/c_l\n",
    "        c_list.append(c)            \n",
    "    return c_list\n",
    "\n",
    "# Testing Laguerre polynomial\n",
    "for i in range(5):\n",
    "    print(Laguerre(i))\n",
    "# Testing Associated Laguerre polynomials \n",
    "for n in range(5):\n",
    "    for l in range(n):\n",
    "        p = l + 0.5\n",
    "        k = (n-l)//2\n",
    "        print(Associate_Laguerre(k, p))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f8f9b15c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1.     0.     0.     0.     0.     0.   ]\n",
      " [ 0.     1.     0.     0.     0.     0.   ]\n",
      " [-0.5    0.     1.5    0.     0.     0.   ]\n",
      " [ 0.    -1.5    0.     2.5    0.     0.   ]\n",
      " [ 0.375  0.    -3.75   0.     4.375  0.   ]\n",
      " [ 0.     1.875  0.    -8.75   0.     7.875]]\n",
      "1.299038105676658\n"
     ]
    }
   ],
   "source": [
    "# 生成勒让德多项式和关联勒让德多项式\n",
    "import math\n",
    "import numpy as np\n",
    "\n",
    "# Comb function\n",
    "# 排列组合函数\n",
    "def comb(k,l):\n",
    "    result_u = 1\n",
    "    temp = k\n",
    "    for i in range(l):\n",
    "        result_u *= temp\n",
    "        temp -= 1\n",
    "    result_l = math.factorial(l)\n",
    "    return result_u/result_l\n",
    "\n",
    "# Legendre Polynomials  \n",
    "# 输出对应n阶之下所有阶数勒让德多项式系数列表 \n",
    "def legendre(n):\n",
    "    a = np.zeros((n, n))\n",
    "    for l in range(n):\n",
    "        for k in range(l+1):\n",
    "            if l==0 and k==0:\n",
    "                a[l][k] = 1\n",
    "            elif (l+k) % 2 == 0:\n",
    "                a_back = comb(l, int((l+k)/2))\n",
    "                a_u = np.prod(np.arange(1, l+1)+np.ones(l)*k)\n",
    "                a[l][k] = np.power(-1, (l-k)/2)*a_u*a_back/(2**l*math.factorial(l))\n",
    "    return a\n",
    "\n",
    "# Associated Legendre Polynomials\n",
    "# 输出对应参数为n，m，x的关联勒让德多项式的值 \n",
    "def associate_legendre(n, m, x):\n",
    "    leg = legendre(n+1)[-1]\n",
    "    result_front = (1-x**2)**(m/2)\n",
    "    ass_leg = leg[m:]\n",
    "    temp = 0\n",
    "    for i in range(len(ass_leg)):\n",
    "        driv_max_num = i + m\n",
    "        for j in range(m):\n",
    "            ass_leg[i] *= driv_max_num\n",
    "            driv_max_num -= 1\n",
    "        temp += ass_leg[i]*(x**i)\n",
    "    return result_front*temp\n",
    "\n",
    "# Testing Legendre Polynomials\n",
    "print(legendre(6))\n",
    "# Testing Associated Legendre Polynomials\n",
    "print(associate_legendre(2, 1, 0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3e162fbe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x23310e0a170>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "# Radical wave function\n",
    "# 输入主量子数n和角量子数l，输出r和R的列表数据\n",
    "def R_nl(n, l):\n",
    "    # initializing steps\n",
    "    r = np.linspace(0,1e-9,100)\n",
    "    a = 0.529e-10\n",
    "    normal_l = math.pow(n*a,3)*2.0*n*math.factorial(n+l)\n",
    "    normal_u = 8.0*math.factorial(n-l-1)\n",
    "    normal = math.sqrt(normal_u/normal_l)\n",
    "\n",
    "    r_1 = []\n",
    "    for i in r:\n",
    "        r_1.append(math.exp(-i/(n*a)))\n",
    "    \n",
    "    r_2 = []\n",
    "    for i in r:\n",
    "        r_2.append(math.pow(2.0*i/(n*a), l))\n",
    "    \n",
    "    k = n-l-1\n",
    "    p = 2*l+1\n",
    "    Ass_Laguerre = Associate_Laguerre(k,p)\n",
    "    r_3 = []\n",
    "    for i in r:\n",
    "        num_laguerre = 0\n",
    "        for j in range(len(Ass_Laguerre)):\n",
    "            num_laguerre += Ass_Laguerre[j] * math.pow(2.0*i/(n*a),j)\n",
    "        r_3.append(num_laguerre)\n",
    "    \n",
    "    y = [normal*r_1[i]*r_2[i]*r_3[i] for i in range(len(r))]\n",
    "    x = r\n",
    "    \n",
    "    # output parameters\n",
    "    # print(normal, np.mean(r_1), np.mean(r_2), np.mean(r_3), np.mean(y))\n",
    "    return x, y\n",
    "# initialize your max n\n",
    "max_n = 5\n",
    "\n",
    "# ploting the radical wave function\n",
    "nl_list = []\n",
    "x_list = []\n",
    "y_list = []\n",
    "for n in range(1, max_n):\n",
    "    for l in range(0, n):\n",
    "        nl_list.append([n, l])\n",
    "        x_nl, y_nl = R_nl(n, l)\n",
    "        x_list.append(x_nl)\n",
    "        y_list.append(y_nl)\n",
    "\n",
    "for temp in range(len(nl_list)):\n",
    "    plt.plot(x_list[temp], y_list[temp], label='n={0}, l={1}'.format(nl_list[temp][0], nl_list[temp][1]))\n",
    "plt.xlabel('Distance r (m)')\n",
    "plt.ylabel('Radical Wave Function $R_{nl}(r)$')\n",
    "plt.title('Radial wave functions of hydrogenlike atoms')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "12943b03",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x23313035a80>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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nrbfeYteuXURHR+Pt7c1tt93G3r17TbqOkp566imysrL4/PPPAf3NKCQkhOHDh1d6XE0+F3d3d7Zt20anTp144YUXaNeuHUFBQcycOZOioqIqx27KiCh/f/8y2wyxpqSkVPk81ZGSklJurEFBQeWWf/176uDgANz459XUckxRlZj8/f257777+Pjjj9Fqtfz1119s3769VKJsiKEqv0MG11+T4RwVXavhdcO/5X3212+7fPky6enp2Nvbl/l9TUxMrNbvqylOnDjB7t27iY6OLjNtgaGv4siRI8vE9sYbb6AoCqmpqRWeu6rftZUx9WfLy8ur1HN7e/tKtxvi6N27N6tXr6a4uJgxY8YQEhJC+/bt+fLLL6sUZ31UP7vGm0l0dHSloxoKCwv573//y+eff056ejrt27fnjTfeMHYGc3Z2ZuHChQD88ccfpKenlznHRx99RFhYmHHIcJs2bdi7dy9vvfWWSX8hG441dCLu168fWq2WRYsW8d133zFy5EgAVqxYQdOmTfn6669LdbArKCgodS5vb2+Ki4tJSUkp9YWSmJh4wzj+/vtvDh06xNKlSxk7dqxxu6FDoqk8PT1RqVTlln39Nh8fH1QqFdu3bzfeCEoqb9uN2NraMmXKFKZMmUJ6ejqbNm3ihRdeYNCgQVy4cAEnJyeTz9miRQuio6P58MMPiY6OZs2aNbz88sul/kovT00+F4AOHTrw1VdfoSgKf/31F0uXLmX27Nk4Ojry/PPPV+kcpswrVLIz+/WxGuI31MZd/zNYk87nhvMnJCSU2W7oYOvj41Oj89d2OZV55plnWL58OT/88AMbNmzAw8OjVC2N4b2u6Hfo+k6+UPZzNpyjoms1XKdhv8o+ewMfHx+8vb3ZsGFDudfl6upa7nZz6dGjB/feey/jx48HYOHChajVamNsAB988AG33HJLuceXl8AZVPW7tjK1+bM1fPhwhg8fTkFBAbt27WLOnDk88MADNGnShB49epitnLqiUdfc3MgjjzzCH3/8wVdffcVff/3Fvffey+DBg02aOG/nzp0MHDiw1LZBgwaxd+9ek/6aLs/cuXPx9PRkxowZxtEhKpUKe3v7Ur9siYmJZXrw9+vXD8BYs2DwxRdf3LBcw7mvTyQ+/vhj0y8CfZLYrVs3Vq5cWeovnqysLH788cdS+w4dOhRFUbh06RJdu3Yt8+jQoUO1YjDw8PBg5MiRPPHEE6SmplY6Qd6N/qJ85pln+Ouvvxg7diw2NjY89thjNyy/Jp9LSSqVio4dO/Luu+/i4eHB/v37qxy3KbKyslizZk2ZWNVqtbHJxHBj/euvv0rtd/1xhtigarV/t912G0ePHi11baCv4VSpVMb3sqZuu+02tmzZYrzhlCzHycmpwhujOXXp0oWePXvyxhtv8PnnnxMTE4Ozs7Px9VtuuQWNRlPm52bHjh1VbtLp0aMHjo6OrFixotT2ixcvGptPAFq1akVAQADffPNNqf3Onz/Pjh07Sm0bOnQoKSkpaLXacn9fW7VqVeX3oLrGjh3LV199xZIlSxgzZoxxJF9UVBQeHh4cPXq03Ni6du1qrAEpT1W/a6Hi3zlr/Gw5ODjQp08f3njjDUA/wrIhatQ1N5U5deoUX375JRcvXjRWEU6bNo0NGzawZMkS4uLiqnSexMTEMtm/v78/xcXFJCcn12hSNE9PT6ZPn85zzz3HF198wUMPPcTQoUNZuXIlkyZNYuTIkVy4cIFXXnmFwMDAUknZwIED6d27N8899xw5OTl07dqVP/74g+XLl9+w3NatW9O8eXOef/55FEXBy8uLH3/8kY0bN1b7Wl555RUGDx7MgAEDmDp1KlqtljfeeANnZ+dSVcNRUVFMmDCBRx55hL1799K7d2+cnZ1JSEjg999/p0OHDsY+ClU1bNgw4xxCvr6+nDt3jnnz5hEeHk5ERESFx3Xo0IGVK1eycOFCunTpglqtNtasAQwYMIC2bdvy66+/Gocr30hNPpeffvqJBQsWMGLECJo1a4aiKKxcuZL09HQGDBhQKu6tW7fy448/EhgYiKura7VvMt7e3jz++OOcP3+eli1bsm7dOv73v//x+OOPG/tOBAQEcPvttzNnzhw8PT0JDw9n8+bNrFy5ssz5DMnpG2+8QXR0NDY2NkRGRpZ7k3n22Wf57LPPGDJkCLNnzyY8PJy1a9eyYMECHn/8cVq2bFmta7rezJkz+emnn+jXrx8zZszAy8uLzz//nLVr1zJ37lzc3d3NUs6NPPPMM9x3332oVComTZpU6jVPT0+mTZvGq6++yqOPPsq9997LhQsXmDVrVpWaNEGf2L/00ku88MILjBkzhtGjR5OSksLLL7+MRqMxDp9Wq9W8/PLLTJw4kZEjRzJu3DjS09N5+eWXCQwMNNaMANx///18/vnn3HHHHTzzzDN069YNOzs7Ll68yK+//srw4cO56667zPcmVWDkyJE4OTkxcuRI8vLy+PLLL3FxceGDDz5g7NixpKamMnLkSPz8/Lhy5QqHDh3iypUrxpr58lT1uxYq/p2rrZ+tGTNmcPHiRW677TZCQkJIT0/nvffew87Ojj59+piljDrHip2Z6xRAWbVqlfH5N998owCKs7NzqYetra0yatSoMsePHTtWGT58eJntERERSlxcXKltv//+uwIoCQkJVYqtoqHgiqIfTRAWFqZEREQYR128/vrrSpMmTRQHBwelTZs2yv/+979yRxOkp6cr48aNUzw8PBQnJydlwIAByj///FOl0VJHjx5VBgwYoLi6uiqenp7Kvffeq5w/f97kkVYlrVmzRomMjFTs7e2VsLAw5fXXXy83bkVRlMWLFyvdu3dXnJ2dFUdHR6V58+bKmDFjlL179xr36dOnj9KuXbsyx44dO7bUiI63335b6dmzp+Lj42Mse/z48crZs2crvY7U1FRl5MiRioeHh6JSqcqNc9asWcaRblVV3c/ln3/+UUaPHq00b95ccXR0VNzd3ZVu3bopS5cuLXX+gwcPKlFRUYqTk1OpkTSV/ZxVNFqqXbt2ytatW5WuXbsqDg4OSmBgoPLCCy+UGcGXkJCgjBw5UvHy8lLc3d2Vhx56yDi6q+RoqYKCAuXRRx9VfH19je+poczrR0spin6EzgMPPKB4e3srdnZ2SqtWrZQ333xT0Wq1xn0MI5PefPPNMtd1/XtakcOHDyvDhg1T3N3dFXt7e6Vjx46l4i55PlNGS5kSU0FBgeLg4KAMHjy43HPqdDplzpw5SmhoqGJvb69ERkYqP/74o9KnT59yR0t9++235Z5n0aJFxt9Dd3d3Zfjw4eVOX/DJJ58oLVq0UOzt7ZWWLVsqixcvVoYPH15mpFBRUZHy1ltvKR07dlQ0Go3i4uKitG7dWpk4caLy77//GvcrOXS7pIriN2UoeMljXVxclMGDBxuHoW/btk0ZMmSI4uXlpdjZ2SnBwcHKkCFDKnx/Sqrqd21Fv3OKUrWfrYo+s4p+Zw0xXLlyRVEURfnpp5+U6OhoJTg4WLG3t1f8/PyUO+64Q9m+ffsNr7G+UimKolg8g6oHVCoVq1atMo54+vrrr3nwwQc5cuRImX4SLi4uZf4aiomJIT09vcyIq969e9O5c+dSE8KtWrWKUaNGkZubi52dnUWuR9QNXbt2RaVSsWfPHmuHIuq5H3/8kTvvvJO1a9dyxx13WDucMtLT02nZsiUjRozgk08+sXY4opGTZqkKdO7cGa1WS1JSEr169ar2eXr06FGm38gvv/xC165dJbFpoDIzM/n777/56aef2LdvH6tWrbJ2SKIeO3r0KOfOnTPOhlsXlnZITEzktddeo1+/fnh7e3Pu3DneffddsrKyeOaZZ6wdnhCNO7nJzs4uNcLnzJkzHDx4EC8vL1q2bMmDDz7ImDFjePvtt+ncuTPJycls2bKFDh06GP9yOnr0KIWFhaSmppKVlcXBgwcB/XwNALGxscyfP58pU6bw2GOPsXPnTj799NMGPQSvsdu/f7/xS3/mzJkVzn8kRFVMmjSJP/74g5tuusk4hb+1OTg4cPbsWSZNmkRqaqqx8+tHH31Eu3btrB2eEDTqZqmtW7eWO6Ji7NixLF26lKKiIl599VU+++wzLl26hLe3Nz169ODll182dnxs0qRJuaMRSr6t27Zt49lnn+XIkSMEBQXxn//8h9jYWMtdmBBCCNGINerkRgghhBANj8xzI4QQQogGRZIbIYQQQjQoja5DsU6nIz4+HldX1zrRMU8IIYQQN6YoCllZWQQFBZWaLLI8jS65iY+PL7MCqxBCCCHqhwsXLhASElLpPo0uuTEs1HbhwgXc3NysHI0QQgghqiIzM5PQ0NAqLbja6JIbQ1OUm5ubJDdCCCFEPVOVLiXSoVgIIYQQDYokN0IIIYRoUCS5EUIIIUSD0uj63AghhGgctFotRUVF1g5DmMDe3v6Gw7yrQpIbIYQQDYqiKCQmJpKenm7tUISJ1Go1TZs2xd7evkbnkeRGCCFEg2JIbPz8/HBycpIJW+sJwyS7CQkJhIWF1ehzk+RGCCFEg6HVao2Jjbe3t7XDESby9fUlPj6e4uJi7Ozsqn0e6VAshBCiwTD0sXFycrJyJKI6DM1RWq22RueR5EYIIUSDI01R9ZO5PjdJboQQQgjRoEhyI4QQQohyxcTEMGLECGuHYTJJboQQQogG6JlnnqFLly44ODjQqVMnq8RQUFDAU089hY+PD87Oztx5551cvHjR4uVKclNP5BdpURTF2mEIIYSoJxRFYdy4cdx3331Wi2Hy5MmsWrWKr776it9//53s7GyGDh1a4w7DNyJDweuBE5ezGPr+7/Rv7ceHD96EjVo6ygkhREPSt29fIiMj0Wg0LFq0CHt7e2JjY5k1a1a1z/n+++8DcOXKFf766y8zRVp1GRkZfPrppyxfvpzbb78dgBUrVhAaGsqmTZsYNGiQxcqWmpt6YOPRyxRqdWw4ksi8TSesHY4QQtQbiqKQW1hslYepte3Lli3D2dmZ3bt3M3fuXGbPns3GjRuNr0dHR+Pi4lLpw9Li4uJuGMP27dsB2LdvH0VFRQwcONB4fFBQEO3bt2fHjh0WjVNqbuqBA+fTjf//YMtJ2ge7M6hdgPUCEkKIeiKvSEvbGT9bpeyjswfhZF/122xkZCQzZ84EICIigvnz57N582YGDBgAwKJFi8jLy7NIrFUVGxvLqFGjKt0nODgY0M8UbW9vj6enZ6nX/f39SUxMtFiMIMlNnacoCgcvpAHQvakXu8+kMvWbQzR/woUWfpbP0oUQQtSOyMjIUs8DAwNJSkoyPjckDdbk5eWFl5dXjc6hKIrF5yGyanLz22+/8eabb7Jv3z4SEhJYtWrVDYecbdu2jSlTpnDkyBGCgoJ47rnniI2NrZ2AreBiWh7J2YXY2aj4NOZmxi3Zw59nU5m4fC+rn4jCVVP96amFEKKhc7Sz4ehsy/XtuFHZprh+uQGVSoVOpzM+j46ONjb5VCQ7O9ukMk0VFxdHXFxcpfusX7+eXr16ERAQQGFhIWlpaaVqb5KSkujZs6dF47RqcpOTk0PHjh155JFHuOeee264/5kzZ7jjjjt47LHHWLFiBX/88QeTJk3C19e3SsfXRwcupAPQJtANFwdb5j/YmWEf/M6pKzlM+/YQCx/sglo6GAshRLlUKpVJTUN1WX1rlurSpQt2dnZs3LjReExCQgJ///03c+fOtWicVv3Eo6OjiY6OrvL+H330EWFhYcybNw+ANm3asHfvXt56660Gm9wcvNrfpnOoBwB+rhoWPtSF+z7eyc9HLrP9ZDJ9WvpaL0AhhBC1wtRmqZMnT5KdnU1iYiJ5eXkcPHgQgLZt2xrXcDKVKc1S7u7ujB8/nqlTp+Lt7Y2XlxfTpk2jQ4cOxtFTllKvRkvt3LmzVK9rgEGDBrF3717jYmnXKygoIDMzs9SjPjlwtb9N57BrVXo3hXkyLDJI//r5NKvEJYQQom579NFH6dy5Mx9//DEnTpygc+fOdO7cmfj4eOM+KpWKpUuXWiyGd999lxEjRjBq1CiioqJwcnLixx9/xMbGtCY7U9WrurrExET8/f1LbfP396e4uJjk5GQCAwPLHDNnzhxefvnl2grRrAqKtRy5pE/GOl2tuTFoH+zOygOX+PtS/UrWhBBClLV169Yy21avXm32c5Z09uxZbG1tiYqKqnCfmiY+Go2GDz74gA8++KBG5zFVvaq5gbIrhhrmEaio5/X06dPJyMgwPi5cuGDxGM3lWEIWhVodnk52hHs7lXqtfbA7AEfiM6wRmhBCiHpuw4YNTJgwgYiICGuHYnb1quYmICCgzNj4pKQkbG1t8fb2LvcYBwcHHBwcaiM8szM0OXUK9SiTvLUNcgMgISOflOwCvF3q5zUKIYSwjoY80rhe1dz06NGj1GyNAL/88gtdu3YtM4SuITBM3leyv42Bi4MtTX2cATgSL01TQgghhIFVk5vs7GwOHjxo7MF95swZDh48yPnz5wF9k9KYMWOM+8fGxnLu3DmmTJnCsWPHWLx4MZ9++inTpk2zRvgWd/DqMPDOYR7lvt7uau3N39I0JYQQQhhZNbnZu3evsfc2wJQpU+jcuTMzZswA9OPhDYkOQNOmTVm3bh1bt26lU6dOvPLKK7z//vsNchh4cnYB51NzAYgM8Sh3H2O/G+lULIQQQhhZtc9N3759K11YrLxe2n369GH//v0WjKpuMMxv08LPBXfH8pvc2gdJp2IhhBDievWqz01jYmySum4IeEmGZqmzKblk5pc/z48QQgjR2EhyU0cZJu/rVEF/GwBPZ3uCPRwBOCqdioUQQghAkps6SatTOHRB39TUObTsSKmSjJ2KL0nTlBBCCAGS3NRJp65kk11QjJO9DS39XSrd99pkflJzI4QQwrxiYmIYMWKEtcMwmSQ3dZBh8r4Owe7Y2lT+EbUP1tfcSKdiIYQQBocOHWL06NGEhobi6OhImzZteO+992o9joKCAp566il8fHxwdnbmzjvv5OLFixYvV5KbOuja/DaVN0kBtLs6YupkUjZ5hVpLhiWEEKKe2LdvH76+vqxYsYIjR47w4osvMn36dObPn1+rcUyePJlVq1bx1Vdf8fvvv5Odnc3QoUPRai17v6pXyy80FtdmJva44b5+rg74uDiQnF3AscRMbqpCQiSEEKJu6du3L5GRkWg0GhYtWoS9vT2xsbHMmjWrWucbN25cqefNmjVj586drFy5kieffNIMEd9YRkYGn376KcuXL+f2228HYMWKFYSGhrJp0yYGDRpksbKl5qYOik/PA6C5r/MN91WpVNeapqRTsRBClKYoUJhjnUcl87iVZ9myZTg7O7N7927mzp3L7NmzSy05FB0djYuLS6WPymRkZODl5VWtt9EgLi7uhjFs374d0NceFRUVMXDgQOPxQUFBtG/fnh07dtQojhuRmps6pkirIzO/GAAv56othtk+yJ2tx6/wt8xULIQQpRXlQlyQdcp+IR7sb/xHqkFkZCQzZ84EICIigvnz57N582YGDBgAwKJFi8jLy6tWKDt37uSbb75h7dq11TreIDY2llGjRlW6T3BwMACJiYnY29vj6Vm6RcHf37/MItjmJslNHZOWUwiAWgUeFcxMfD3DcPAjCVJzI4QQ9VVkZGSp54GBgSQlJRmfG5IGUx05coThw4czY8YMY6JUXV5eXjWu/VEUBZVKVaNz3IgkN3VMytXkxtPJHrW6ah++YTj48cQsCot12NtKa6MQQgBg56SvQbFW2absblf6D1qVSoVOpzM+j46ONjb5VCQ7O7vU86NHj9K/f38ee+wx/vvf/5oUT3ni4uKIi4urdJ/169fTq1cvAgICKCwsJC0trVTtTVJSEj179qxxLJWR5KaOSb2a3Hg521f5mBBPR9w0tmTmF3PicpYx2RFCiEZPpTKpaaguM7VZ6siRI/Tv35+xY8fy2muvmSUGU5qlunTpgp2dHRs3bjQek5CQwN9//83cuXPNEk9FJLmpY1KqkdzoOxW7s+NUCkfiMyS5EUKIBsiUZqkjR47Qr18/Bg4cyJQpU4x9XGxsbPD19a12DKY0S7m7uzN+/HimTp2Kt7c3Xl5eTJs2jQ4dOhhHT1mKtF/UManZBQB4u1Q9uYES/W5kpmIhhGj0vv32W65cucLnn39OYGCg8XHzzTeX2k+lUrF06VKLxfHuu+8yYsQIRo0aRVRUFE5OTvz444/Y2NhYrEyQmps6pzrNUnCt381hGQ4uhBD1ztatW8tsW716dbXPN2vWrBvOkXP27FlsbW2JioqqcJ+aJj4ajYYPPviADz74oEbnMZXU3NQx15qlqjYM3KB1gL7m5mRSNoqJcysIIYRofDZs2MCECROIiIiwdihmJzU3dYyh5sbbxJqbMC99r/ys/GLSc4vwNPF4IYQQjUtsbKy1Q7AYqbmpY6rToRjA0d4GP1d9bc+51FyzxyWEEELUF5Lc1DHVrbkBCPfW196cS8kxa0xCCCFEfSLJTR1j7FBs4mgpgDAv/VwO51Ok5kYIIUTjJclNHaLVKaTlVq9ZCkrU3EizlBBCiEZMkps6JD230LiIrKdT9ZMbqbkRQgjRmElyU4cYmqTcHe2wszH9ozGMmDqXKn1uhBBCNF6S3NQhKTXoTAwQ7q3vc3M5s4D8Iq3Z4hJCCCHqE0lu6pDqzk5s4Olkh6uDfuqi89LvRgghRA3FxMQwYsQIa4dhMklu6hBjzU01RkqBfo2QcB/DcHBJboQQorE6dOgQo0ePJjQ0FEdHR9q0acN7771X63F88skn9O3bFzc3N1QqFenp6bVSriQ3dUjK1UUzTV16oaTwq8PBZa4bIYRovPbt24evry8rVqzgyJEjvPjii0yfPp358+fXahy5ubkMHjyYF154oVbLleUX6pCaTOBnEGYYMSXNUkIIUW/07duXyMhINBoNixYtwt7entjY2BsuflmRcePGlXrerFkzdu7cycqVK3nyySfNEHHVTJ48GSh/YVBLkuSmDqnu0gslhXtJs5QQQhgoikJecZ5Vyna0dUSlUlV5/2XLljFlyhR2797Nzp07iYmJISoqigEDBgAQHR3N9u3bKz1HdnZ2ha9lZGTg5eVV5XjKExcXR1xcXKX7rF+/nl69etWonJqS5KYOSc2uWZ8bkJobIYQoKa84j+5fdLdK2bsf2I2TnVOV94+MjGTmzJkAREREMH/+fDZv3mxMbhYtWkReXvUStZ07d/LNN9+wdu3aah1vEBsby6hRoyrdJzg4uEZlmIMkN3VITUdLwbXh4BfTctHqFGzUVf+rQQghhPVERkaWeh4YGEhSUpLxeXWThiNHjjB8+HBmzJhhTJSqy8vLq8a1P7VBkps6xBzNUgFuGuxt1BRqdcSn5xHqVfW/GoQQoqFxtHVk9wO7rVa2Kezs7Eo9V6lU6HQ64/PqNEsdPXqU/v3789hjj/Hf//7XpHjKI81SwiS6EutKeddgtJSNWkWIlyOnr+RwPjVXkhshRKOmUqlMahqqy0xtljpy5Aj9+/dn7NixvPbaa2aJQZqlhEky84vQ6vQLS3k6291g78qFezlx+koO51JyiWphjuiEEEJYmylJw5EjR+jXrx8DBw5kypQpJCYmAmBjY4Ovr2+1YzC1WSoxMZHExEROnjwJwOHDh3F1dSUsLMyizVsyz00dYWiScnWwxcHWpkbnMvS7kTWmhBCicfr222+5cuUKn3/+OYGBgcbHzTffXGo/lUrF0qVLLRbHRx99ROfOnXnssccA6N27N507d2bNmjUWKxOk5qbOMHYmrsFIKQPDApqyOrgQQtQP5c0Ds3r16mqfb9asWTecI+fs2bPY2toSFRVV4T41TXyqEoclSM1NHZGSXfPOxAbh3jLXjRBCiMpt2LCBCRMmEBERYe1QzE5qbuoIc8xObBBeYq4bRVFMmkRKCCFE4xAbG2vtECxGam7qiNQcw7pSNU9uQjydUKkgu6DY2JdHCCGEaCwkuakjrs1xU/1h4AYaOxsC3DSANE0JIYRofCS5qSPM2SwFJToVy4gpIYQQjYwkN3WEOZZeKEk6FQshhGisJLmpI4yjpcwwFByuzXUjw8GFEEI0NpLc1BGWapY6J6uDCyGEaGQkuakDFEWRZikhhBDCTCS5qQOyC4op1OpXfq3JopklhXvpm6WSswvIKSg2yzmFEEI0LjExMYwYMcLaYZhMkps6wFBr42hng6N9zdaVMnB3ssPdUb8A53lpmhJCiEYlJSWFwYMHExQUhIODA6GhoTz55JNkZmbWahwFBQU89dRT+Pj44OzszJ133snFixctXq4kN3VAipmbpAykaUoIIRontVrN8OHDWbNmDSdOnGDp0qVs2rSp1mclnjx5MqtWreKrr77i999/Jzs7m6FDh6LVai1ariy/UAekXh0p5W2mkVIGYV5O/HUxgwtScyOEEHVa3759iYyMRKPRsGjRIuzt7YmNja32opOenp48/vjjxufh4eFMmjSJN99800wR31hGRgaffvopy5cv5/bbbwdgxYoVhIaGsmnTJgYNGmSxsqXmpg4wd2digxBPfc3NpfQ8s55XCCHqC0VR0OXmWuWhKIpJsS5btgxnZ2d2797N3LlzmT17Nhs3bjS+Hh0djYuLS6WPisTHx7Ny5Ur69OlT7fcSIC4u7oYxbN++HYB9+/ZRVFTEwIEDjccHBQXRvn17duzYUaM4bkRqbuoASzVLBXs6AnAxTZIbIUTjpOTlcfymLlYpu9X+faicnKq8f2RkJDNnzgQgIiKC+fPns3nzZgYMGADAokWLyMsz7ft89OjR/PDDD+Tl5TFs2DAWLVpk0vHXi42NZdSoUZXuExwcDEBiYiL29vZ4enqWet3f35/ExMQaxXEjktzUAYZFM801x41BiDG5kWYpIYSo6yIjI0s9DwwMJCkpyfjckDSY4t1332XmzJkcP36cF154gSlTprBgwYJqx+jl5YWXl1e1jwd9bZpKparROW5Ekps6wJyLZpYU4qFPbqRZSgjRWKkcHWm1f5/VyjaFnZ1d6eNVKnQ6nfF5dHS0scmnItnZ2aWeBwQEEBAQQOvWrfH29qZXr1689NJLBAYGmhSbQVxcHHFxcZXus379enr16kVAQACFhYWkpaWVqr1JSkqiZ8+e1Sq/qiS5qQPMPTuxgaFZKiu/mIy8IuPQcCGEaCxUKpVJTUN1WXWapUoy9AEqKCio9jlMaZbq0qULdnZ2bNy40XhMQkICf//9N3Pnzq12DFVh9eRmwYIFvPnmmyQkJNCuXTvmzZtHr169Ktz/888/Z+7cufz777+4u7szePBg3nrrLby9vWsxavMyJjdmHi3lZG+Ll7M9qTmFXErLk+RGCCHqMVOapdatW8fly5e5+eabcXFx4ejRozz33HNERUXRpEmTasdgSrOUu7s748ePZ+rUqXh7e+Pl5cW0adPo0KGDcfSUpVh1tNTXX3/N5MmTefHFFzlw4AC9evUiOjqa8+fPl7v/77//zpgxYxg/fjxHjhzh22+/Zc+ePTz66KO1HLl5GRfNNHPNDUCwNE0JIUSj4+joyP/+9z9uvfVW2rRpw+TJkxk6dCg//fRTqf1UKhVLly61WBzvvvsuI0aMYNSoUURFReHk5MSPP/6IjY15JqytiEoxdayaGXXv3p2bbrqJhQsXGre1adOGESNGMGfOnDL7v/XWWyxcuJBTp04Zt33wwQfMnTuXCxcuVKnMzMxM3N3dycjIwM3NreYXYQatX1pPfpGO3/6vH2He5q0+jV2+jw1HEpk1rC0xUU3Nem4hhKhr8vPzOXPmDE2bNkWj0Vg7nDrt7NmzREREcPToUSIiIqwdDlD552fK/dtqNTeFhYXs27ev1Ph3gIEDB1Y4/r1nz55cvHiRdevWoSgKly9f5rvvvmPIkCG1EbJF5BYWk1+k7zDmZeZmKbg2YkpqboQQQpS0YcMGJkyYUGcSG3OyWp+b5ORktFot/v7+pbZXNv69Z8+efP7559x3333k5+dTXFzMnXfeyQcffFBhOQUFBaU6T9X2uho3YmiSsrdV42ymdaVKkrluhBBClKe2l2KoTVafofj6se6VjX8/evQoTz/9NDNmzGDfvn1s2LCBM2fOVPoBzZkzB3d3d+MjNDTUrPHXVMmRUpYY9y99boQQQjQ2VktufHx8sLGxKVNLk5SUVKY2x2DOnDlERUXxf//3f0RGRjJo0CAWLFjA4sWLSUhIKPeY6dOnk5GRYXxUtW9ObbHU0gsGhpqbS1JzI4QQopGwWnJjb29Ply5dSq2bAbBx48YKJ/fJzc1FrS4dsqHHdUX9oh0cHHBzcyv1qEsstfSCgWF9qZScQnILiy1ShhBCCFGXWLVZasqUKSxatIjFixdz7Ngxnn32Wc6fP29sZpo+fTpjxowx7j9s2DBWrlzJwoULOX36NH/88QdPP/003bp1IygoyFqXUSPpufrkxtPJMsmNu6Mdrg76rlXx0jQlhBCiEbDqJH733XcfKSkpzJ49m4SEBNq3b8+6desIDw8H9DMZlpzzJiYmhqysLObPn8/UqVPx8PCgf//+vPHGG9a6hBrLKdAC4KKx3EcR7OnIP4lZXEzLo4Wfq8XKEUIIIeoCq89QPGnSJCZNmlTua+VNLPTUU0/x1FNPWTiq2pNztanIxcFyH0VIieRGCCGEaOisPlqqscsu0Cc3ThYYBm4gI6aEEEI0JpLcWFlOgeVrbmTElBBCiOqIiYlhxIgR1g7DZJLcWJkhuXG2aLOUfsTUxbRci5UhhBCi7khJSWHw4MEEBQXh4OBAaGgoTz75ZK1PZPvJJ5/Qt29f3NzcUKlUpKen10q5ktxYWXYtJDfSLCWEEI2LWq1m+PDhrFmzhhMnTrB06VI2bdpU67MS5+bmMnjwYF544YVaLdfqHYobO+NoKQcL9rm52iyVlFVAYbEOe1vJaYUQoi7p27cvkZGRaDQaFi1ahL29PbGxscyaNata5/P09OTxxx83Pg8PD2fSpEm8+eabZoq4aiZPngzA1q1ba7VcuctZmbFZyt5yeaa3sz0aOzWKAgkZUnsjhGg8FEWhqEBrlUdFk8tWZNmyZTg7O7N7927mzp3L7NmzS010Gx0djYuLS6WPisTHx7Ny5Ur69OlT7fcSIC4u7oYxbN++vUZlmIPU3FiZYSi4JZulVCoVwR6OnLqSw8W0PMK9nS1WlhBC1CXFhTo+eWabVcqe8F4f7EyolY+MjGTmzJkAREREMH/+fDZv3syAAQMAWLRoEXl5pv2BOnr0aH744Qfy8vIYNmwYixYtMun468XGxjJq1KhK9wkODq5RGeYgyY2VXWuWsuxHEezpxKkrOTJiSggh6qjIyMhSzwMDA0lKSjI+r07S8O677zJz5kyOHz/OCy+8wJQpU1iwYEG1Y/Ty8sLLy6vax9cWSW6sSFEUY82NkwX73IB+Ij+Ai9KpWAjRiNjaq5nwXs2aYmpStins7OxKPVepVOh0OuPz6OjoGzb5ZGdnl3oeEBBAQEAArVu3xtvbm169evHSSy8RGBhoUmwGcXFxxMXFVbrP+vXr6dWrV7XOby6S3FhRbqEWQ5OsxWturo6YkuHgQojGRKVSmdQ0VJdVp1mqJEMfoIKCgmqfQ5qlxA0ZOhOrVeBoVzs1N9IsJYQQ9ZMpScO6deu4fPkyN998My4uLhw9epTnnnuOqKgomjRpUu0YTG2WSkxMJDExkZMnTwJw+PBhXF1dCQsLs2jzloyWsqLsEiOlVCqVRcsyJjfSLCWEEA2eo6Mj//vf/7j11ltp06YNkydPZujQofz000+l9lOpVOWu42guH330EZ07d+axxx4DoHfv3nTu3Jk1a9ZYrEyQmhurMnQmtuRIKYNgD/0sxQkZ+RRrddjaSF4rhBB1RXnzwKxevbra5+vXrx87duyodJ+zZ89ia2tLVFRUhfvUNPGZNWtWtefqqQm5w1nRtdmJLd8e7OfqgJ2NCq1O4XJW9dtbhRBCNAwbNmxgwoQJREREWDsUs5OaGyvKLbT8opkGarWKIA9HzqXkciktz9jBWAghRONU20sx1CapubGi2lhXqiQZMSWEEKIxkOTGigx9bpwsuPRCScYFNGXElBBCiAZMkhsrMgwFt+SimSUFy4gpIYQQjYAkN1ZU281SIZ76EVOS3AghhGjIJLmxoms1N7Xd50aSGyGEEA2XJDdWVBsrgpdUciI/nU6plTKFEEKI2ibJjRVl1+IkfgAB7hrUKigs1pGcI3PdCCGEaJiqdVfV6XScPHmSpKSkUiuWgn5qZVE1ubXcodjORk2Am4b4jHwupuXh56qplXKFEELUTzExMaSnp9dotmRrMLnmZteuXbRo0YI2bdrQu3dv+vbta3z069fPEjE2WLXdoRhKdCqWfjdCCNFgpaSkMHjwYIKCgnBwcCA0NJQnn3ySzMzMWoshNTWVp556ilatWuHk5ERYWBhPP/00GRkZFi/b5LtqbGwsXbt2Ze3atQQGBlp8wceGzNjnppbmuYGrw8HPSqdiIYRoyNRqNcOHD+fVV1/F19eXkydP8sQTT5CamsoXX3xRKzHEx8cTHx/PW2+9Rdu2bTl37hyxsbHEx8fz3XffWbRsk++q//77L9999x0tWrSwRDyNSm0unGlgnMgvXWYpFkI0fIqiUFxgnT6Gtg4OVa4A6Nu3L5GRkWg0GhYtWoS9vT2xsbHVXnTS09OTxx9/3Pg8PDycSZMm8eabb1brfNXRvn17vv/+e+Pz5s2b89prr/HQQw9RXFyMra3l7n0mn7l79+6cPHlSkhszqM2FMw2MI6ak5kYI0QgUFxTw/tiRVin76WXfYaepet/GZcuWMWXKFHbv3s3OnTuJiYkhKiqKAQMGABAdHc327dsrPUd2dna52+Pj41m5ciV9+vSp+gWUIy4ujri4uEr3Wb9+Pb169Sr3tYyMDNzc3Cya2EA1kpunnnqKqVOnkpiYSIcOHbCzsyv1emRkpNmCa+hqe54buDZLsTRLCSFE3RIZGcnMmTMBiIiIYP78+WzevNmY3CxatIi8PNO+u0ePHs0PP/xAXl4ew4YNY9GiRTWKMTY2llGjRlW6T3BwcLnbU1JSeOWVV5g4cWKNYqgKk++q99xzDwDjxo0zblOpVCiKgkqlQqvVmi+6BkynU8gttGazVJ7xMxNCiIbK1sGBp5dZtn9HZWWb4vrKgcDAQJKSkozPK0oaKvPuu+8yc+ZMjh8/zgsvvMCUKVNYsGCByecx8PLywsvLy+TjMjMzGTJkCG3btjUmcJZk8l31zJkzloij0TF0JobarbkJuprc5BZqSc8twtPZvtbKFkKI2qZSqUxqGrKm61tCVCpVqelWqtMsFRAQQEBAAK1bt8bb25tevXrx0ksvERgYWK0Yq9MslZWVxeDBg3FxcWHVqlVlrtMSTL6rhoeHWyKORsfQmdhGrcLBtvbmUtTY2eDr6sCVrAIupuVJciOEEPVEdZqlSlIU/cz0BTXoYG1qs1RmZiaDBg3CwcGBNWvWoKmlRLNaVQanTp1i3rx5HDt2DJVKRZs2bXjmmWdo3ry5ueNrsK4NA7ep9aahYA9HrmQVcCk9lw4h7rVathBCiOoxpVlq3bp1XL58mZtvvhkXFxeOHj3Kc889R1RUFE2aNKl2DKY0S2VlZTFw4EByc3NZsWIFmZmZxnl2fH19sbGx3GAak6sMfv75Z9q2bcuff/5JZGQk7du3Z/fu3bRr146NGzdaIsYGKccKE/gZhEinYiGEaNAcHR353//+x6233kqbNm2YPHkyQ4cO5aeffiq1n0qlYunSpRaJYd++fezevZvDhw/TokULAgMDjY8LFy5YpEwDk++szz//PM8++yyvv/56me3/+c9/jL26ReWsMTuxgYyYEkKIumXr1q1lttVkyYN+/fqxY8eOSvc5e/Ystra2REVFVbhPTRKfvn37GpvCapvJNTfHjh1j/PjxZbaPGzeOo0ePmiWoxsAaE/gZGJdgSJfkRgghGqsNGzYwYcIEIiIirB2K2Zl8Z/X19eXgwYNl3oyDBw/i5+dntsAaupxaXjSzpBAPqbkRQojGLjY21tohWIzJyc1jjz3GhAkTOH36ND179kSlUvH777/zxhtvMHXqVEvE2CAZm6VqcV0pg2DjLMWyBIMQQoiGx+Q760svvYSrqytvv/0206dPByAoKIhZs2bx9NNPmz3AhsoasxMbGCbyy8wvJjO/CDeN5eccEEIIIWqLyXdWlUrFs88+y7PPPktWVhYArq6uZg+sobPmaClnB1s8nexIyy3iUloeboGS3AghhGg4ajR7nKurqyQ21ZRjhaUXSgqWBTSFEEI0UFW6s950001s3rwZT09POnfuXOmkc/v37zdbcA2ZsebGvvY7FAOEeDjx96VMGTElhBCiwalScjN8+HAcri4ANnz4cFls0QysOc8NlJzrRjoVCyGEaFiqdGctuYLnrFmzLBVLo2LNDsVQenVwIYQQoiExuc9Ns2bNSElJKbM9PT2dZs2amSWoxsCak/iBLMEghBDixmJiYhgxYoS1wzCZycnN2bNn0Wq1ZbYXFBRw8eJFswTVGFxrlrJOnxvpUCyEEI1DSkoKISEhqFQq0tPTa7XsgoICnnrqKXx8fHB2dubOO++slVyhytUGa9asMf7/559/xt392mrSWq2WzZs307RpU/NG14AZVgW3VrNUiId+CYaUnELyCrU4WqljsxBCCMsaP348kZGRXLp0qdbLnjx5Mj/++CNfffUV3t7eTJ06laFDh7Jv3z6Lrgpe5TuroVpKpVIxduzYUq/Z2dnRpEkT3n77bbMG15BZc54bADdHW1wdbMkqKOZSei4t/GRIvxCi4VEUBaVIZ5WyVXbqKg/A6du3L5GRkWg0GhYtWoS9vT2xsbE17ue6cOFC0tPTmTFjBuvXr6/RuUyVkZHBp59+yvLly7n99tsBWLFiBaGhoWzatIlBgwZZrOwq31l1Ov0PR9OmTdmzZw8+Pj4WC6oxyLZyh2KVSkWwpyP/JGZxMS1PkhshRIOkFOmIn1H56tiWEjS7JyoTasWXLVvGlClT2L17Nzt37iQmJoaoqCgGDBgAQHR0NNu3b6/0HNnZ2cb/Hz16lNmzZ7N7925Onz5dvYu4TlxcHHFxcZXus379enr16sW+ffsoKipi4MCBxteCgoJo3749O3bsqBvJjcGZM2csEUejotUp5F/9S8LJis1BIVeTGxkxJYQQ1hcZGWkcnRwREcH8+fPZvHmzMblZtGgReXlV+74uKChg9OjRvPnmm4SFhZktuYmNjWXUqFGV7hMcHAxAYmIi9vb2eHp6lnrd39+fxMREs8RTEZOTm9mzZ1f6+owZM6odTGNh6G8D1muWgmvDwWXElBCioVLZqQma3dNqZZsiMjKy1PPAwECSkpKMzw1JQ1VMnz6dNm3a8NBDD5kUw414eXnh5eVVo3MoimLx+fJMvrOuWrWq1POioiLOnDmDra0tzZs3l+SmCgz9bWzVKhxsa7QCRo3IiCkhREOnUqlMahqyJju70uv8qVQqY5cQMK1ZasuWLRw+fJjvvvsO0CcUAD4+Prz44ou8/PLL1YrRlGapgIAACgsLSUtLK1V7k5SURM+elk04TU5uDhw4UGZbZmYmMTEx3HXXXWYJqqEr2ZnYmrM9h3jqR0xJs5QQQtR9pjRLff/996X23bNnD+PGjWP79u00b9682jGY0izVpUsX7Ozs2Lhxo/GYhIQE/v77b+bOnVvtGKrCLG0ibm5uzJ49m6FDh/Lwww+b45QNWvbVCfys1ZnY4FqzlCzBIIQQdZ0pzVLXJzDJyckAtGnTBg8Pj2rHYEqzlLu7O+PHj2fq1Kl4e3vj5eXFtGnT6NChg3H0lKWYrU0kPT2djIwMc52uQcux8gR+BoZmqaSsAgqKy07MKIQQomFTqVQsXbrUYud/9913GTFiBKNGjSIqKgonJyd+/PFHi85xA9WouXn//fdLPVcUhYSEBJYvX87gwYPNFlhDZu1FMw28ne3R2KnJL9KRkJ5PEx9nq8YjhBCN1datW8tsW716tdnO37dvX2O/G4OzZ89ia2tLVFRUhcfVNPHRaDR88MEHfPDBBzU6j6lMvru+++67pZ6r1Wp8fX0ZO3Ys06dPNzmABQsW8Oabb5KQkEC7du2YN28evXr1qnD/goICZs+ezYoVK0hMTCQkJIQXX3yRcePGmVy2tVh70UwDlUpFsIcjp67kcCk9T5IbIYRoRDZs2MCECROIiIiwdihmZ9V5br7++msmT57MggULiIqK4uOPPyY6OpqjR48SFhZW7jGjRo3i8uXLfPrpp7Ro0YKkpCSKi4vL3beuyim8umimvXWTG4BgTyd9ciMjpoQQolGJjY21dggWU6O764ULF1CpVISEhFTr+HfeeYfx48fz6KOPAjBv3jx+/vlnFi5cyJw5c8rsv2HDBrZt28bp06eNHZqaNGlS7fitxVBz42TlPjdQcnVw6VQshBCiYTC5Q3FxcTEvvfQS7u7uNGnShPDwcNzd3fnvf/9LUVFRlc9TWFjIvn37Sk3LDDBw4EB27Ch/quw1a9bQtWtX5s6dS3BwMC1btmTatGlVHhpXV9SVZimA0KvDwS9IzY0QQogGwuS765NPPsmqVauYO3cuPXr0AGDnzp3MmjWL5ORkPvrooyqdJzk5Ga1Wi7+/f6ntlU3LfPr0aX7//Xc0Gg2rVq0iOTmZSZMmkZqayuLFi8s9pqCggIKCAuPzzMzMKsVnSXWlQzFAqJe+5uZCqtTcCCGEaBhMvrt++eWXfPXVV0RHRxu3RUZGEhYWxv3331/l5Mbg+knsKpuWWafToVKp+Pzzz3F3dwf0TVsjR47kww8/xNHRscwxc+bMqfZMjJZSl2puwrz0NTfnJbkRQgjRQJjcLKXRaMrt59KkSRPs7e2rfB4fHx9sbGzK1NIkJSWVqc0xCAwMJDg42JjYgH5CIkVRuHjxYrnHTJ8+nYyMDOPjwoULVY7RUnIKDB2Krd/nxtAslZRVQH6RzHUjhBCi/jM5uXniiSd45ZVXSjX1FBQU8Nprr/Hkk09W+Tz29vZ06dKFjRs3ltq+cePGCteciIqKIj4+vtSS7idOnECtVlfYqdnBwQE3N7dSD2urS81SHk52uF6NQzoVCyGEaAiqdHe9++67Sz3ftGkTISEhdOzYEYBDhw5RWFjIbbfdZlLhU6ZM4eGHH6Zr16706NGDTz75hPPnzxuHp02fPp1Lly7x2WefAfDAAw/wyiuv8Mgjj/Dyyy+TnJzM//3f/zFu3Lhym6TqqrrULKVSqQj1cuJoQibnU3Np4edq7ZCEEELUETExMaSnp5t1QsHaUKW7a8lmIIB77rmn1PPQ0NBqFX7fffeRkpLC7NmzSUhIoH379qxbt47w8HBAv8DW+fPnjfu7uLiwceNGnnrqKbp27Yq3tzejRo3i1VdfrVb51mKc56YOJDeg71R8NCGT8ylScyOEEA1NSkoKHTt25NKlS6SlpdVobSlTffLJJ3zxxRfs37+frKysWiu/SnfXJUuWWCyASZMmMWnSpHJfK2/a59atW5dpyqpv6sraUgaGTsUyHFwIIRqe8ePHExkZyaVLl2q97NzcXAYPHszgwYOrtYpBddWNqoNGJqcO9bkBGTElhBDW1rdvXyIjI9FoNCxatAh7e3tiY2OZNWtWjc67cOFC0tPTmTFjBuvXrzdPsCaYPHkyUP7aWZZUpbvrTTfdxObNm/H09KRz584VDtUG2L9/v9mCa6iMHYrrwPILACGGmhtJboQQDYyiKCZNMGtOdnZ2ld4vr7ds2TKmTJnC7t272blzJzExMURFRTFgwAAAoqOj2b59e6XnKDng5ujRo8yePZvdu3dz+vTp6l3EdeLi4oiLi6t0n/Xr11e6RmRtqNLddfjw4Tg4OAAwYsQIS8bT4BVrdRQU64C60aEYSjRLpeZWOs+QEELUN0VFRTe8GVvKCy+8YNIUKZGRkcycOROAiIgI5s+fz+bNm43JzaJFi6o8I39BQQGjR4/mzTffJCwszGzJTWxsLKNGjap0n+DgYLOUVRNVursa3mytVmusOvP09LRoYA2VYY4bqDvNUsEe+pFmOYVaUnMK8XZxsHJEQgjR+ERGRpZ6HhgYSFJSkvG5KUnD9OnTadOmDQ899JDZ4gPw8vIyru1Yl5l0d7WxsWHQoEEcO3ZMkptqyi7UN0nZ26ixtzV5miGL0NjZEOCmITEzn/OpuZLcCCEaDDs7O1544QWrlV2T/VUqFTqdzvjclGapLVu2cPjwYb777jtA3zwH+gl0X3zxxWrP3N+gmqVK6tChA6dPn6Zp06aWiKfBq2sjpQzCvJxIzMznQloencMkcRVCNAwqlcqkpqG6zJRmqe+//77Uvnv27GHcuHFs376d5s2bVzuGBtUsVdJrr73GtGnTeOWVV+jSpQvOzs6lXq8LMwDXZXVpduKSQrwc+fOsdCoWQoi6ypSk4foEJjk5GdAvWVSTeWZMbZZKTEwkMTGRkydPAnD48GFcXV0JCwuzaPOWye0igwcP5tChQ9x5552EhITg6emJp6cnHh4e0lRVBbnGdaXqVnJjHA4uE/kJIUSjoVKpyp1Tzlw++ugjOnfuzGOPPQZA79696dy5M2vWrLFYmVCNmptff/3VEnE0Gtl1uFkK4IKsLyWEELWuvHlgzLnkQd++fY39bgzOnj2Lra0tUVFRFR5X08Rn1qxZNZ6rpzpMTm6aNm1KaGhomeHCiqLUiRW367q6NoGfQahM5CeEEI3Khg0bmDBhAhEREdYOxeyqldwkJCTg5+dXantqaipNmzZFq9VWcKQAyCmsO4tmlmSouUnIyKdIq8POpm6M5BJCCGEZhkWqGyKT72AVTfKWnZ2NRqMxS1ANWV3tUOzr4oC9rRqtTiEhPd/a4QghhBDVVuU77JQpUwB956OXXnoJJycn42tarZbdu3fTqVMnswfY0BiapepazY1arSLU05FTV3I4n5pLmLfTjQ8SQggh6qAq32EPHDgA6GtuDh8+XGreAHt7ezp27Mi0adPMH2EDY5ihuK51KAZ909SpKznSqVgIIUS9VuXkxjBK6pFHHuG9996T+Wyqqa42S4F0KhZCCNEwmNznZsmSJaUSm8zMTFavXs0///xj1sAaqtzCurUieElhktwIIYRoAExObkaNGsX8+fMByMvLo2vXrowaNYoOHTrw/fffmz3Ahibb2CxV95IbQ83NRUluhBBC1GMmJze//fabcUGsVatWoSgK6enpvP/++7z66qtmD7ChudahuO71uQn1lJobIYQQ9Z/JyU1GRoZxPYgNGzZwzz334OTkxJAhQ/j333/NHmBDU1cn8QMI9XIEIC23iKz8IitHI4QQwtpiYmIYMWKEtcMwmcnJTWhoKDt37iQnJ4cNGzYwcOBAANLS0mSemyqoyx2KXTV2eDrZAXAhtWorzwohhKjbUlJSCAkJQaVSkZ6eXmvlpqam8tRTT9GqVSucnJwICwvj6aefJiMjw+Jlm5zcTJ48mQcffJCQkBCCgoLo27cvoG+u6tChg7nja3Dq6jw3BtKpWAghGpbx48cTGRlZ6+XGx8cTHx/PW2+9xeHDh1m6dCkbNmxg/PjxFi/b5DvspEmT6NatGxcuXGDAgAGo1fr8qFmzZtLnpgoM89w42de9Pjeg71R86GIGFyS5EUKIWtO3b18iIyPRaDQsWrQIe3t7YmNja7zo5MKFC0lPT2fGjBmsX7/ePMFWUfv27UsNNGrevDmvvfYaDz30EMXFxdjaWu6P/GqduWvXrnTt2rXUtiFDhpgloIasWKujUKsD6uZQcLg2Ykom8hNCNASKoqDTWaeZXa12LHe5ooosW7aMKVOmsHv3bnbu3ElMTAxRUVEMGDAAgOjoaLZv317pObKzs43/P3r0KLNnz2b37t2cPn26ehdxnbi4OOLi4irdZ/369caBR9fLyMjAzc3NookNVDG5mTJlCq+88grOzs7GZRgq8s4775glsIYot+jaoqKOdbTmRpqlhBANiU6Xx9Zt1uky0bfPYWxsqr6UTWRkJDNnzgQgIiKC+fPns3nzZmNys2jRIvLyqpaoFRQUMHr0aN58803CwsLMltzExsYyatSoSvcJDg4ud3tKSgqvvPIKEydONEsslalScnPgwAGKioqM/6+IKRlqY5RXqE9u1CpwsK2bq25LciOEENZxfb+YwMBAkpKSjM8rShrKM336dNq0acNDDz1ktvgAvLy8jCOmTZGZmcmQIUNo27atMYGzpColN4alF67/vzBNbqGhv41tnU0EDXPdXEzLQ6dTUKvrZpxCCFEVarUjffsctlrZprCzsyv1XKVSodPpjM9NaZbasmULhw8f5rvvvgP0zXMAPj4+vPjii7z88ssmxWZQnWaprKwsBg8ejIuLC6tWrSpznZZQNzt+NFCGpRfqapMUQKCHBhu1isJiHZez8gl0N+2XUwgh6hKVSmVS01BdZkqz1Pfff19q3z179jBu3Di2b99O8+bNqx2Dqc1SmZmZDBo0CAcHB9asWVNrU8ZUKbm5++67q3zClStXVjuYhi6vsG6PlAKws1ET6unI2ZRcziTnSHIjhBB1hCnNUtcnMMnJyQC0adMGDw+PasdgSrNUVlYWAwcOJDc3lxUrVpCZmUlmZiYAvr6+2NhY7l5YpY4f7u7uxoebmxubN29m7969xtf37dvH5s2bcXd3t1igDYGhWcrRru4mNwBNfZwBOJOcY+VIhBBCWJJKpWLp0qUWOfe+ffvYvXs3hw8fpkWLFgQGBhofFy5csEiZBlWquVmyZInx///5z38YNWoUH330kTHr0mq1TJo0qdRq4aKsvKK6X3MD0NTHhV+PX+HMFUluhBCiNmzdurXMttWrV5vt/H379jX2uzE4e/Ystra2REVFVXhcTRKf8sqsLSYP2Vm8eDHTpk0rVZ1kY2PDlClTWLx4sVmDa2gMzVJ1uc8NQFNfqbkRQoiGbsOGDUyYMIGIiAhrh2J2JncoLi4u5tixY7Rq1arU9mPHjpXq1S3KutYsVbf7cTf1vprcpEhyI4QQDVVsbKy1Q7AYk++yjzzyCOPGjePkyZPccsstAOzatYvXX3+dRx55xOwBNiSG0VJ1vlnqas3N+ZRcirU6bG3q5pw8QgghRHlMTm7eeustAgICePfdd0lISAD0Ew0999xzTJ061ewBNiT1YbQUQKCbBgdbNQXFOi6m5dHkagdjIYQQoj4wOblRq9U899xzPPfcc8YhXdKRuGoMyy/U9T43arWKpj7O/JOYxZnkHEluhBBC1Cs1am9wc3OTxMYE9aXmBqCJt3QqFkIIUT9JZ4padK3PTd3uUAwyYkoIIUT9JclNLaovk/iBTOQnhBCi/pLkphbl15NJ/ACaSXIjhBCinjI5uTlz5owl4mgUcuvJJH5wrebmUnqeMSkTQgjRuMTExDBixAhrh2Eyk5ObFi1a0K9fP1asWEF+fr4lYmqw6lOzlJezPa4afd+gcym5Vo5GCCFEdaWkpBASEoJKpSI9Pb1Wy544cSLNmzfH0dERX19fhg8fzj///GPxck1Obg4dOkTnzp2ZOnUqAQEBTJw4kT///NMSsTU410ZL1f0OxSqVqkTTVLaVoxFCCFFd48ePJzIy0ipld+nShSVLlnDs2DF+/vlnFEVh4MCBaLWWbREwOblp374977zzDpcuXWLJkiUkJiZy66230q5dO9555x2uXLliiTgbhNwi/Wip+tAsBdeapk5LvxshhLCovn378vTTT/Pcc8/h5eVFQEAAs2bNqvF5Fy5cSHp6OtOmTat5kNUwYcIEevfuTZMmTbjpppt49dVXuXDhAmfPnrVoudXuUGxra8tdd93FN998wxtvvMGpU6eYNm0aISEhjBkzxjh7sbimPs1zA/rVwQFZHVwIUW8pikKOVmuVh6krYi9btgxnZ2d2797N3LlzmT17Nhs3bjS+Hh0djYuLS6WPko4ePcrs2bP57LPPUKvNM34oLi7uhjFs37693GNzcnJYsmQJTZs2JTQ01CzxVKTa7SN79+5l8eLFfPXVVzg7OzNt2jTGjx9PfHw8M2bMYPjw4dJcdZ3c+pbcXJ3r5qwsoCmEqKdydTqa/3bYKmWf6t0BZ5uqf99HRkYyc+ZMACIiIpg/fz6bN29mwIABACxatIi8vLwqnaugoIDRo0fz5ptvEhYWxunTp02/gHLExsYyatSoSvcJDg4u9XzBggU899xz5OTk0Lp1azZu3Ii9vb1Z4qmIycnNO++8w5IlSzh+/Dh33HEHn332GXfccYcxK2zatCkff/wxrVu3Nnuw9ZmiKOTVk+UXDJrKLMVCCFFrru8XExgYSFJSkvH59UlDZaZPn06bNm146KGHzBYfgJeXF15eXiYd8+CDDzJgwAASEhJ46623GDVqFH/88QcajcassZVkcnKzcOFCxo0bxyOPPEJAQEC5+4SFhfHpp5/WOLiGJL9Ih6GGsj50KAZo4uMEQHJ2IRl5Rbg72lk5IiGEMI2TWs2p3h2sVrYp7OxKf8eqVCp0Op3xeXR0dIVNPgbZ2foBIFu2bOHw4cN89913AMYmMh8fH1588UVefvllk2IziIuLIy4urtJ91q9fT69evYzP3d3dcXd3JyIigltuuQVPT09WrVrF6NGjqxVDVZh8l924cSNhYWFl2u8UReHChQuEhYVhb2/P2LFjzRZkQ5BXYq6Y+jAUHMBVY4evqwNXsgo4m5xDx1APa4ckhBAmUalUJjUN1WWmNEt9//33pfbds2cP48aNY/v27TRv3rzaMVSnWep6iqJQUFBQ7RiqwuTkpnnz5iQkJODn51dqe2pqKk2bNrX48K76yrCulL2tGhu1ysrRVF1TH2d9cpMiyY0QQliTKc1S1ycwycnJALRp0wYPD49qx2BKs9Tp06f5+uuvGThwIL6+vly6dIk33ngDR0dH7rjjjmrHUBUmd5+uqPd3dna2RdvP6rv6NlLKwNDv5rSMmBJCiAZHpVKxdOlSi5xbo9Gwfft27rjjDlq0aMGoUaNwdnZmx44dZSpIzK3KNTdTpkwB9G/EjBkzcHJyMr6m1WrZvXs3nTp1MnuADYVxpFQ9aZIykNXBhRDC8rZu3Vpm2+rVq812/r59+5apnDh79iy2trZERUVVeFxNEp+goCDWrVtX7eNrosrJzYEDBwB9zc3hw4dLDeOyt7enY8eOVpskqD6oT+tKlSSrgwshRMO0YcMGJkyYQEREhLVDMbsqJze//vorAI888gjvvfcebm5uFguqIcq7OjtxfRkpZWBYguFscg6KoqBS1Z/+QkIIISoWGxtr7RAsxuQ77ZIlSywRR4NXX2tuwrydUKkgq6CY5OxCfF0drB2SEEIIUakqJTd33303S5cuxc3NjbvvvrvSfVeuXGmWwBqa+jY7sYGDrQ3BHo5cTMvjTHKOJDdCCCHqvCqNlnJ3dzc2Rxgm46noYaoFCxbQtGlTNBoNXbp0ueEERQZ//PEHtra29aYTc35R/UxuoGS/G1kdXAghRN1XpZqbkk1R5myW+vrrr5k8eTILFiwgKiqKjz/+mOjoaI4ePUpYWFiFx2VkZDBmzBhuu+02Ll++bLZ4LMlQc6OpZ6OlQN/vZvu/ybI6uBCi3jB10UpRN5jrczN5npu8vDxyc3ONz8+dO8e8efP45ZdfTC78nXfeYfz48Tz66KO0adOGefPmERoaysKFCys9buLEiTzwwAP06NHD5DKtpb42S8G1mptTSZLcCCHqNsMSBiXvU6L+KCwsBMCmhrNKm9yhePjw4dx9993ExsaSnp5Ot27dsLe3Jzk5mXfeeYfHH3+8SucpLCxk3759PP/886W2Dxw4kB07dlR43JIlSzh16hQrVqzg1VdfvWE5BQUFpaZ5zszMrFJ85pZXWD9HSwG0DHAF4N+kLCtHIoQQlbOxscHDw8O44KSTk5OM8qwndDodV65cwcnJCVvbmt0rTT56//79vPvuuwB89913BAQEcODAAb7//ntmzJhR5eQmOTkZrVaLv79/qe3+/v4kJiaWe8y///7L888/z/bt26t84XPmzKn2AmHmZBwtVQ+bpVr565Ob86m55BYW18sETQjReBgWdS65oraoH9RqNWFhYTVOSE2+S+Xm5uLqqr/Z/fLLL9x9992o1WpuueUWzp07Z3IA119ARXOpaLVaHnjgAV5++WVatmxZ5fNPnz7dOLsy6GtuQkNDTY6zpurr8gsA3i4OeDvbk5JTyMmkbCJDPKwdkhBCVEilUhEYGIifnx9FRUXWDkeYwN7evszC3NVhcnLTokULVq9ezV133cXPP//Ms88+C+gzZFMm9vPx8cHGxqZMLU1SUlKZ2hyArKws9u7dy4EDB3jyyScBfRWWoijY2tryyy+/0L9//zLHOTg44OBg/eHL9bnPDUBLf1d2nk7heGKWJDdCiHrBxsamxn03RP1kcno0Y8YMpk2bRpMmTejevbuxU+8vv/xC586dq3wee3t7unTpwsaNG0tt37hxIz179iyzv5ubG4cPH+bgwYPGR2xsLK1ateLgwYN0797d1EupVblFhkn86meTTqur/W5OXJZ+N0IIIeo2k++0I0eO5NZbbyUhIYGOHTsat992223cddddJp1rypQpPPzww3Tt2pUePXrwySefcP78eeOU0NOnT+fSpUt89tlnqNVq2rdvX+p4Pz8/NBpNme110bUOxfXzr4iWV/vdHL8sc90IIYSo26pVjRAQEGDssGXQrVs3k89z3333kZKSwuzZs0lISKB9+/asW7eO8PBwABISEjh//nx1Qqxz8orqb4digFYBLgD8KzU3Qggh6jiVYuKMOTk5Obz++uts3ryZpKQkdDpdqddPnz5t1gDNLTMzE3d3dzIyMmp18c/+b2/l9JUcvppwC7c08661cs0lM7+IyFn6uYwOzRyIu6OdlSMSQgjRmJhy/za55ubRRx9l27ZtPPzwwwQGBsr8AVVUn0dLAbhp7Ahy1xCfkc+/l7Po2sTL2iEJIYQQ5TI5uVm/fj1r164lKirKEvE0WPV9tBRAhL8r8Rn5HJfkRgghRB1mcnLj6emJl5fc2ExlqLmpr6OlQD9iatuJK5xItH6/m7ziPM5nnicxJ1H/yE0kJS8FL40Xwa7BBLsEE+ISQqBLIHZqaUITQojGxOQ77SuvvMKMGTNYtmwZTk5OloipwSnW6ijU6vsmOdXTDsVQcsSUdZIbnaJj/+X9rD65ml/O/UJecd4Nj3GydaJfWD+im0TTM6gndjaS6AghRENncnLz9ttvc+rUKfz9/WnSpIlxkTKD/fv3my24hsIwxw2AYz1uljIsw3A8MavCmaQtIaMggy/++YI1J9dwMfuicbuHgweBzoEEOAfg7+SPt6M3qfmpXMq+xKWsS1zKvkRucS5rT69l7em1uDu4c3vY7dzf+n5ae7WuldiFEELUPpOTmxEjRlggjIbN0CSlVoGDbc2nlbaWFn4uqFSQlltEcnYhvq6Wn/l507lNvLrrVVLyUwBwtnNmcJPBDG8xnE6+nSpNsBRF4a/kv1h/Zj0/n/2Z5Lxkvv/3e77/93uim0bzVOenCHU1YSmOony4tA/O7YDzOyAvHdS2YGOn/9fOEYK7QJNe+n9t7Wt49UIIIarD5KHg9Z01hoKfSc6h31tbcba34cjswbVSpqX0ffNXzqbk8vmj3Ylq4WOxcpLzkonbHcfGc/oZrJu5N+PRDo9ye/jtONo6mnw+rU7L3st7+e7Ed2w4uwEAW7Ut97a8l4mRE/F2rGB4vk4Lf30NB1bAxb2gLSh/v+vZOkJYd4gYBJ0fAk3tTTsghBANkUWHggOkp6fz3XffcerUKf7v//4PLy8v9u/fj7+/P8HBwdUKuiFrCJ2JDVr6u3I2JZcTl7MsltysO72OuD/jyCjIwEZlw7j244jtGIu9TfVrQmzUNnQP7E73wO6Maz+OefvnsSN+B1/+8yVrTq3hPzf/hxEtRlyrCVIUOPYjbHkVko9fO5GzHzSJgvAocA8FXRHoikFbDHlp+hqdM9shNxlOb9U/ts6BruPglsfBNaC88IQQQpiRyXfbv/76i9tvvx13d3fOnj3LY489hpeXF6tWreLcuXN89tlnloizXssrqt9LL5TUKsCVX45etsgaU4qisOjwIt4/8D4Arb1aM7vnbNp4tzFrOW282/DxgI/ZlbCLd/e9y9GUo8zYMYOtF7Yys+dMvBL+hk2z9E1QABoPiHoG2g4Hr2ZQWV+j7hP0idGVf/SJzd7FkHwC/pgHuxZA5H3Q5znwCDPrNQkhhLjG5A4gU6ZMISYmhn///ReNRmPcHh0dzW+//WbW4BqKhjDHjUFEiU7F5qQoCvP2zzMmNuPaj+OLIV+YPbEp6ZbAW/jiji+YfNNkbNW2bLmwhbu/HcT2b+7VJzZ2ztD7/2DyX9BrCng3rzyxMVCpwK+NvqZm0m64/0sIvQW0hXBgOXzYHXZ+qG/yEkIIYXYmJzd79uxh4sSJZbYHBweTmJholqAamlxjs1T9T24MI6ZOXM7GXN21dIqO13a/xuK/FwMwres0nu3ybK3MT2OjtmF8h/F8MWARzVUOpOjymRTgxxutoyh+ah/0/y9o3KtfgFoNre+A8T/DuF8grCcU5cLPL8Ci2yDxsPkuRgghBFCN5Eaj0ZCZmVlm+/Hjx/H19TVLUA1NfV96oaSmPs7YqlVkFxQTn5Ff4/MV64r57+//5evjX6NCxYweMxjbbqwZIjVB+gXarHqGr86c5KHMHABWFFxg0q6ZZBaW/VmvtrDuELMWhr0HDu4QfwA+7gObXgZtkfnKEUKIRs7k5Gb48OHMnj2boiL9l7FKpeL8+fM8//zz3HPPPWYPsCEw1tzY1f8Oxfa2apr5OgPUeKZiRVGYuWMmP57+ERuVDa/3ep17W95rjjCr7uJe+F8/uHwYjZMP/xn+JfP6zsPR1pGdCTt5cO2DnM8048r0ajV0iYEn/9T34VG08Ps7sGwYZEnNpxBCmIPJyc1bb73FlStX8PPzIy8vjz59+tCiRQtcXV157bXXLBFjvZdb2HA6FIP5ZipefnQ5a06twUZlwzt93+GOZneYI7yqSzoGy++GnCvg3wEe+xXCunNb+G0sG7wMfyd/zmaeZfTa0fyZ8Kd5y3YNgFGfwajl4OAG53fqa3HO7zJvOUII0QiZnNy4ubnx+++/8/333/P666/z5JNPsm7dOrZt24azs7MlYqz3GlKzFJTod1ODmpud8Tt5e9/bgL6PTf+w/maJrcoyE+Dze6EgQ9/Zd9wG8Lg2oV8b7zZ8OeRLOvh0ILMwk4kbJ/LjqR/NH0fbO/VJlW8byE6EpUNg98f6EVdCCCGqpdrtJP3796d//1q+IdVThuUXNPV4XamSWgbUrObmQuYFpm2bhk7RcWfzO3mwzYPmDO/GCrLgi1GQcQG8W8DoL8HBpcxuvk6+LB60mBl/zGD92fW8+PuL5BXnMarVKPPG49MCHt0Ea56CIyth/XOQ8BcMm6ef/VgIIYRJTKq50el0LF68mKFDh9K+fXs6dOjAnXfeyWeffWa2kTMNUUOtuTmZlI1WZ9rnnluUy9O/Pk1mYSYdfDowo8eMWlujCtBPtvdtDCT+Bc6+8OB34FTxKvcaWw2v936d+1vdj4LCK7teYcnfS8wfl4MLjFwMg+JAZQMHV8BXD0JhrvnLEkKIBq7KyY2iKNx55508+uijXLp0iQ4dOtCuXTvOnTtHTEwMd911lyXjrNcaWnIT6uWEg62agmId51Jyqnycoii8+PuLnEw/iY+jD/P6zcPBxvLrU5UIANY+Cyc36ZdHeOBr8Gp6w8PUKjUvdH+BRzs8CsA7+97hgwMfmD+hV6mgxxNw/+dgq4F/f4bP7oTcVPOWI4QQDVyVk5ulS5fy22+/sXnzZg4cOMCXX37JV199xaFDh9i0aRNbtmyR2YkrYGiWagjLLwDYqFW0DtSv6/F3fNWHSn/373dsOr8JO7Ud7/Z9Fz8nP0uFWL59S2D/Z6BS62tJgrtU+VCVSsUzNz3DMzc9A8Anf33C3D1zLVNj2SoaxqzRz4x8cQ8sHgTpF8xfjhBCNFBVTm6+/PJLXnjhBfr161fmtf79+/P888/z+eefmzW4hiKvgY2WAogM1k9sd/hiepX2T8hO4O29+g7Ek2+aTCe/ThaKrAIpp+DnF/X/v/1l/cR61fBoh0d5sbv+PCuOreCdfe9YJsEJ6w7jfga3YP3yDZ8OhOR/zV+OEEI0QFVObv766y8GD654Revo6GgOHTpklqAamoa0/IJBhxB9cvPXxYwb7qsoCi/vfJmcohw6+Xaq/Q7EOi2sflw/M3CTXtDjyRqd7v7W9zOzx0wAlh5ZyvyD880RZVl+rWH8L+DbGrLi9SOpJMERQogbqnJyk5qair+/f4Wv+/v7k5aWZpagGpprk/g1nOQm8mpy8/eljBt2Kv7h1A/8Ef8H9mp7ZkfNxkZdy+/DH+/Bhd1g7wojFugn0quhkS1HMr3bdEDfRPXxoY9rfM5yuYdAzDrwawfZl/UJzpUTlilLCCEaiCp/y2u1WmxtK+4zYmNjQ3FxsVmCamiudShuGH1uAFr4uuBoZ0NOoZYzydkV7peUm8TcPXMBeKLzEzR1v3EHXrNKPAy/xun/H/2GWVfjfqDNA0zrOg2A+Qfns/TvpWY7dynO3jD2x2sJzrKhkuAIIUQlqny3VRSFmJgYHBzKH91SUFBgtqAamtwifdLnaF/zGoO6wtZGTbsgN/aeS+Ovixm08HMts4+iKLyy8xWyCrNo792eMW3H1G6QxQWwciLoiqDVEOj0gNmLGNtuLAXaAj448AFv73sbja2G+1vfb/ZyjAnOZ3fC5b/1Cc7Yn8C3pfnLEkKIeq7Kd9uxY8fi5+eHu7t7uQ8/Pz/GjKnlm1c9kVeoAxrG2lIl3ajfzboz69h6cSu2alteiXoFW3UtX/+vcZB0BJx89ItVWmg+nQmRE5gQOQGAuN1xbDi7wSLl4OytH0Xl3/5qDc4wSD1jmbKEEKIeq/LdZskSC0xc1kg0xNFSAB1DPAD4q5wRUzlFOby5500AYiNjaeHZohYjA64chx0f6P8/bB64WHbF+ic7PUlGQQZfH/+a6dun42bvRs+gnuYvyJDgLBsKSUdh+Qh4ZAO4BZq/LCGEqKcaTjtJHaUoinGem4aW3Bhqbo7EZ1Ks1ZV67dPDn5KSn0K4Wzjj2o+r/eB++a9+xe2W0dBmmMWLU6lUTO82ncFNBlOsK2byr5M5fOWwZQpz9oaHV4FnU0g7C8vvkon+hBCiBEluLKygWGdcA9GxgSU3Tb2dcXGwpaBYx79J1zoVJ+Yk8tlR/YSOU7pMwa6210f6dxP8+wuobWHgq7VWrI3ahrhb4+gR2IO84jwmbZ7E6YzTlinMNQDGrAbXQLhyDFbco18zSwghhCQ3lmYYBg4Na7QUgFqton2wfqbikk1T7+1/jwJtAV39u9IvtOykjxalLYafX9D/v9tE/aKUtcjOxo53+71Le+/2pBekM3HjRC7nXLZMYZ5N4OHV4OgF8fvhy9FQlGeZsoQQoh6R5MbCcq/2t7G3VWOjrsUFImvJtX43+k7Ffyf/zU+nf0KFiv+7+f9qd1FM0C+xkHxcf8Pv81ztln2Vs50zC25fQBO3JiTmJPLE5ifILqx4uHyN+LWGh77Xz+Fzdjt8/6h+0kIhhGjEJLmxsIa2aOb1DP1uDl/KQFEUYyfiYc2H0da7be0Gk5cGv76m/3//F8HRo3bLL8FT48nC2xfirfHmeNpxnt36LEXaIssUFnwTjP4SbOzhn59g3TSwxJIQQghRT0hyY2HGpRca0OzEJUUGewBwLCGT9Wd+YX/SfjQ2Gp7u/HTtB7Ntrj7B8W0DN8XUfvnXCXEN4cPbP8TR1pFdCbuYtXOWZdahAmjaC+7+H6CCvYvht7csU44QQtQDktxYmCG50TTQmptQL0c8nOwo0hXx9t53AIhpH4O/c8VLdVhE8kn48xP9/wfHgU3d6N/Uzrsdb/d5GxuVDWtOreHDgx9asLAREK2fDZpfX4V9yyxXlhBC1GGS3FhYfgMdBm6gUqnoEOyOncefJOXF4+voyyPtHqn9QLbOAV0xRAyC5v1rv/xK9ArpxUu3vATAx399zPcnvrdcYd0nQK+p+v//NBmOr7dcWUIIUUdJcmNh15ql6kZNgiW0C3bE3nsrABMjJ+Jk51S7AVw5AX9fTRj6/7d2y66ie1reQ2zHWABe2fUKOy7tsFxh/V+CTg+CooNvH4GL+yxXlhBC1EGS3FiYYbRUQ5vjpqQc+52o7TKx0XlwV8RdtR/A9rcARb9+VGBk7ZdfRZM6TmJYs2FoFS1Ttk3heOpxyxSkUumXm2hxOxTnwRejZJkGIUSjIsmNheU18GapQm0hv1/5BoC8K33Ramv5OlNOweFv9f/v83+1W7aJVCoVL/d8mZsDbianKIcnNj9BUm6SZQqzsYN7l0JAJOQmw+cjZRZjIUSjIcmNhRmapRpqzc3Kf1eSnJ8ExR4UpHXlaEJm7Qaw/W1980vEIAjqXLtlV4OdjR3v9n2Xpu5NuZx7mSc3P0luUa5lCnNwhQe+AfdQSDl5dZK/fMuUJYQQdYgkNxaW24DnuSnUFrLo8CIAwm2GgmJb7iKaFpN6Bg59pf9/n//UXrk15O7gzoe3fYiXxotjqcf4v9/+j2JdsWUKcwuEB78FB3e4sAtWTQSd7sbHCSFEPSbJjYVdWxG84XUoXvXvKi7nXsbPyY9+wUOBazMV14rtb+sXx2xxO4R0qb1yzSDUNZQP+n+Ag40Dv138jTf+fMNyc+D4tYH7V4DaDo6uho0vWaYcIYSoIyS5sTDjPDcNbBK/Qm0hi/7W19o82uFRbgrzBWD/+bTaCSDtHBz6Uv//elRrU1KkbyRzes1BhYqvjn/FimMrLFdY094wYoH+/zvnw5//s1xZQghhZZLcWFhDXX5h9cnVJOYk4ufox90Rd9M13BO1Cs6l5JKQUQuLN/7+rn5em2b9ILSb5cuzkAHhA5jSZQoAb+55ky3nt1iusMhR14bKr38Ojm+wXFlCCGFFktxYWEMcLVWkK+LTw58CML7DeBxsHHDV2NE+WL/O1O7TFh6Vk5UIB67WctTTWpuSxrYby70t70VB4fntz3Mk+YjlCus1DTo/rO+E/d0jEH/AcmUJIYSVSHJjYcbRUg2oWeqXs78QnxOPl8aLuyPuNm7v3tQLgF2nUywbwJ5FoCuC0O4Q3sOyZdUClUrFC91fICooirziPJ7c8iQJ2QmWKgyGvqufxbkoF764D9LPW6YsIYSwEkluLOxas1TD6FCsKApLjywF4IHWD6Cx1Rhfu6WZN2Dh5KYoD/boa43o8YTlyqlltmpb3urzFhGeESTnJTNp8ySyCrMsU5iNHdy7DPzaQfZl+PxeyEu3TFlCCGEFktxYWG6RYbRUw6i52ZWwi39S/8HR1pH7Wt1X6rWuTbxQq+BsSi6JGRaaT+XQV5CXCh5h0HqoZcqwEhd7Fz7s/yG+jr6cTD/JlK1TKNIVWaYwjZt+iLhrIFz5B75+CIoLLVOWEELUMkluLKyhTeJnqLW5q8VdeGg8Sr3m7mhH2yA3AHafsUDtjU4Huxbq/989FtQN4z0tKdAlkPm3zcfR1pFdCbt4dderlhsi7h6sn+TP3gXOboc1T4GlyhJCiFokyY2FNaTRUsdTj7MjfgdqlZqH2z5c7j63NDU0TVmgU/GpzZB8HOxd9Z1iG6i23m15s/ebqFVqVv670jhRokUERsKoZaCygb++gl/jLFeWEELUEkluLKwhzVBsqLUZGD6QENeQcvcx9LvZbYl+Nzs/1P970xh9s0oD1ie0D893ex6A9w+8z7rT6yxXWIvbYdg8/f9/mwv7l1uuLCGEqAWS3FhYXgOZxC8xJ5ENZ/TzosS0j6lwv5ubeqFSwenkHJIyzdjv5vJROP0rqNTQfaL5zluHjW49mjFtxwDw3z/+y97EvZYr7KYx+mHiAD8+Ayc3Wa4sIYSwMEluLKhYq6NQq1/Hp76Pllp+dDnFSjHdArrRzrtdhfu5O9rRNlBfq7LrjBmbpnZdrbVpPRQ8w8133jpuatep3B52O0W6Ip7+9WlOpZ+yXGH9/wuR9+mXtPhmLCQcslxZQghhQZLcWJBhAj+o381SmYWZfHfiOwBi2sXccH+zDwnPToK/vtX/v8eT5jlnPaFWqZnTaw4dfTuSVZjF45se50ruFcsUplLBnfP1SzUUZuuHiKeds0xZQghhQZLcWJChSUqlAgfb+vtWf3/ie3KLc2nh0YJbg2+94f6GyfzM1u9m72LQFkBwl3q91EJ1aWw1fND/A8LdwknISeCJzU+QU5RjmcJs7eG+FSXmwBkJuRaecVoIIcys/t5x6wFjZ2I7G1QqlZWjqZ5iXTFf/PMFAGPajqnSdXS72u/m1JUckrJq2O9GWwT7lur/3/1xfabYCHlqPFl420K8NF4cSz3G1G1TLTgHjrt+Dhy3YEg+AV+O1k+eKIQQ9YQkNxZ0bY6b+tvfZsv5LSTmJOKl8eKOZndU6RgPJ3taB+j73fxZ0343x9dDVgI4+UDbO2t2rnou1C2U+f3no7HR8MelP3hl5yuWnQPnoe/BwR0u7IKVj4FOe+PjhBCiDrB6crNgwQKaNm2KRqOhS5cubN++vcJ9V65cyYABA/D19cXNzY0ePXrw888/12K0pslrALMTf37scwBGthyJg41DlY+7pZmZ1pnae3WphZseBtuql99QdfDtwJt99HPgrDq5ig8OfGC5wvzawOgvwMYejv2oX0lcJvkTQtQDVk1uvv76ayZPnsyLL77IgQMH6NWrF9HR0Zw/X/5Cfr/99hsDBgxg3bp17Nu3j379+jFs2DAOHKibKxvX9zlujqYcZX/SfmxVtmWWWriRa52Ka1Bzk3wSTm8FVNDlkeqfp4HpG9qXGbfMAOB/h/9nTEAtosmtcPcngEq/YOm2uZYrSwghzMSq7SXvvPMO48eP59FHHwVg3rx5/PzzzyxcuJA5c+aU2X/evHmlnsfFxfHDDz/w448/0rlz59oI2SS59XyOG8NNc0CTAfg5+Zl0bLcm+pqbk0nZJGcX4ONSjVqXvYv1/0YMbFTDv6vinpb3cCXvCh8e/JA3/nwDb0dvBjcZbJnC2t0FOcmwbhpsjQMXX+g6rkanLMzLJSslhazUZPIyM8jPyaYgO5v83BwKc3MoLipCW1yMtqgIXXERiqKgtrFBpbZBrVajtrHBTqPBXuOIvZMT9hpHHJydcXL3xMnNHWcPD5zcPbBz0Nw4GCFEg2O15KawsJB9+/bx/PPPl9o+cOBAduzYUaVz6HQ6srKy8PLyqnCfgoICCgoKjM8zMzOrF3A11OelF5Lzkll/Zj0AD7V5yOTjPZ3taR3gyj+JWfxxMpnhnYJNO0FhLhy8WiNx83iTy28MJkZOJDkvma+Pf80L21/A08GT7oHdLVNYt8f0Q/J/mwtrp1apD1RedhapFy+QGn+R1PiLpCVcIj0xgayUZArzci0T53U0zi64+vrh7uuHm48f7n7+eAaF4BUUjKuPL+oGuD6ZEMKKyU1ycjJarRZ/f/9S2/39/UlMTKzSOd5++21ycnIYNWpUhfvMmTOHl19+uUaxVpdhnpv6mNx8e+JbinRFRPpEEukbWa1z9Gvtxz+JWWw6lmR6cnNkJeSn61f/bnF7tcpv6FQqFdO7TSc1P5WN5zbyzK/PsHjQYtp6t7VMgf1e0A8P378Mvn8UHL+Hpr0AyMvKJOHkcZJOn+LymVNcPnOSrOTK5+NxcHLGxcsbJ3cPNM4uODi7oHFxwcHRCVt7e9S2dtja2WFjZweAotOh02nRaXXotMUU5edTmJdLYX4ehbm55Odkk5uRTm5mBrnp6RQXFZKfk01+TjZXzp4uU76tnT0egUF4h4ThG94Uv/Cm+IY3xdnTq96ObhRC6Fl9GM/1XyKKolTpi+XLL79k1qxZ/PDDD/j5VdxkMn36dKZMmWJ8npmZSWhoaPUDNkF9HS1VpC3im+PfAPBgmwerfZ7b2/izcOsptv6TRGGxDntT5vrZc7UjcZdHGuTq3+Zio7ZhTq85pBeksydxD49vepylg5fS1L2p+QtTqWDIO5CbQvbhX7i44HEuhtzLxfOXSblYfj85Vx9fvIJC8AwMxisoGM9AfY2Jq5c39o5O5o/xKkVR9E1fyVfITL5CxpXLZF5JIuNyIqnxF0lPjKe4qJDk82dJPn+W4zt+Mx7r6OZOQPMIApq3JLBFS/ybR+Dk5m6xWG90HQW5xRTkFlGYp6Ugr5jCvGKKCrTotAqKTkGnU9BpFVQqsLFTY2Orf9jaqbF3tMXByRYHJzscnG2xtVNX+v2qFBWhzcpCyctDV+LBdf3IVTZqVI6OqB2dUDs5onZ0RO3igspGfldF3WC1u66Pjw82NjZlammSkpLK1OZc7+uvv2b8+PF8++233H575X/VOzg44OBgnVE2eYVXR0vVsz43G85uIDkvGT9HPwY0GVDt83QO9cDHxZ7k7EL+PJPKrRE+VTvw0n6I3w9quwa9+re5ONg48H6/9xn38ziOpR5jwsYJfDb4MwJdAs1Whra4mPjjRzlzcB9n9ruTfPFq89f5PcZ9PINCCGjWAv9mLfBr2hy/Js1wcHI2WwymUKlUODg54xDmjE9YkzKv63RaMpOSSI2/yJVzZ4yPtIR48jIzOHNgL2cOXFvLyyMgkOBW7Qhu05bgVu3wDAwyW+1OQW4RaZdzSb+cS3piLpnJeeRkFJKdXkBuegHFRTqzlANga6fCyRE06kI02izs81LR5FxBk3EJhytnsEs+j1qpZnkqFTYeHth4emLj5Ymtlzd2gQHYBgZiFxiEXVAgdiEh2Hp6mu16hKiI1ZIbe3t7unTpwsaNG7nrrruM2zdu3Mjw4cMrPO7LL79k3LhxfPnllwwZMqQ2Qq22azU39Se5URTF2JH4vtb3Yae2q/a51GoVt7X25+u9F9h4NLHqyY1h+He7EfrOq+KGXOxd+GjAR8RsiOFMxhke2/gYSwcvxcexiu95OQrz8zhzYC8ndv3B2UP7KMwrMZGfSoWfSzEhdomEeKkJnrgUp7AOZriS2qFW2+AREIhHQCDNbrrZuL2oIJ8r586SeOpfEk+dIPHUv6TFXyQ9MYH0xASObNMvKOrk7kFI2w6EtYskrH0kHgFVS3Zy0gtIOpdJ0vksrpzL4sqFLHIzCm94nK2DDQ4aG+wdbfUPjQ1qGzUqtQq1WoVKrR+lry3WoS3SoS0spigzh/zsQgoLdBTpbFFUaoqLFDKLIBM7wEv/cGgBfoAfqHRaHPOTcc67jEthMq5KOq5k4KxLR12y+qaoGF1+/rWanaIiUBS0aWlo09KgbCugkY27O/ZNmxofDi0j0LRqhW1AgDQHCrOxanvJlClTePjhh+natSs9evTgk08+4fz588TGxgL6JqVLly7x2WefAfrEZsyYMbz33nvccsstxlofR0dH3N2tU21cmax8fc2Nq6b+NEsdunKIIylHsFfbM7LlyBqfb0BbQ3JzmVl3trvxl1deOhz+Xv//rtKR2BReGi8+GfAJY9eP5VzmOWI3xrJ48GLc7N2qfI6i/HxO7tvNv7v+4MzBfRQXXuuM7+jmTtOON9Gkc1eaRHbG0aYYltwBV47BqofgkQ3gZr7aImuwc9AQ1LI1QS1bG7flZ2cT/+8xLv1zlEv/HCXx1AlyM9I5sXM7J3bq5+Vy8fYhvH1HwjveRHiHTsZmrMzkPC6dSOPSiXQuHU8jO62g3HKd3O3x9HfCw98Jd18nXDwdcPZwwNnDHmd3B2xv8AdScUoKuXv3kbd/P7n795N/9Chor026qABaGw1FTp5og1tQ5B9OsXsgBY7e5OBEdr4t2dkKWmzIdfIn18mfkj2mbOzU+IS44Bvmim+YK37hbngFOaNW63+flcJCtJmZFKemok1NQ5uWSvGVZIoSEylKiKc4IZGi+HiKk5LQZmSQd/AgeQcPlroGtbs7mpYt0bRtg6Z9BxwjO2AXFiYJj6gWq95177vvPlJSUpg9ezYJCQm0b9+edevWER6uH/abkJBQas6bjz/+mOLiYp544gmeeOIJ4/axY8eydOnS2g7/htJy9X+ReTjZWzmSqjMstRDdNBovTcWj0KoqqoUPGjs18Rn5HE3IpF3QDZLQv76B4jzwbQNht9S4/MYmwDmATwbqE5zjacd5YtMTfDzgY5zsKu7fouh0XPznCEe2bebErj8oyr9WQ+PuH0DLW24lolsPAppFoFJf129qzGpYPAjSzsLyuyBmLTh7W+birETj4kKzzjfTrLO+hqe4qIjEk8e5cOQw548cIuHEP2SnJHNk22aObNsMqHDyCAFCKdaGobIJQKXSv28qFXgGOuMX7opvmBt+4a54BTpj72jaV7FSXEzeoUNkb99Ozm/b9cnMdWz9/dG0bYtD61ZoWrVG07oVdqGhFfaLUXQKORkFpCXmkhqfQ2p8NqkJOaTE51CUr+XymUwun7k22tROY4N/EzcCmrkT0NydgGYeaHwqrynU5eZSeP48hWfOUHj2LAUnT1Fw4gQFZ86gy8ggd88ecvdca+pUu7vj2L49jp0749TlJhw7dkTtZLm+WqLhUCkWm7+9bsrMzMTd3Z2MjAzc3Kr+F211PLRoN7+fTOadUR25+6YQi5ZlDldyrzDwu4EUK8V8PfRrs426eeyzvWw8epnJt0cw+faWFe+oKLAwCpKOQPRc6D7RLOU3RsdTj/PIz4+QVZhFV/+uLLh9AY62jqX2yU5N4fCWXziybRMZSZeN2939/Gkd1YeI7lH4NWl247+c087C4sH6ZTICOsCYNeBU88S4vshJz2H/z7s4tWcfaQnH0BWXHiWmtnXCO6QdLbp2o8NtPXH1ql4ts66ggJw//iBz/Qayt21Dd920Fg4RETh27YLTTV1wuqkztkHm6Rek6BQyruRx5XyWvjntfCZJZ7MoKii9HIdKBT6hrgS19CC4pSdBLdxxcKpas7ausJDCU6fI/+c4+UeOkH/4MPnHjqEUXtdkZ2ODpm1bnLp0wal7N5xuvhkbF5caX6OoH0y5f0tyY0FD3t/OkfhMlsTcTL/Wpk2CZw0LDi5g4aGFdPLtxPI7lpvtvN/svcBz3/1FuyA31j7dq+IdL+6FRbeBrQam/gOO0vGwJg5fOcxjGx8jpyiHWwJvYf5t87FX23PhyGEO/bKWk3t3obvadGHv6EjLW3rRrk9/gltXofnweldOwNI7IOcKBHWGh1eDo4fZr6mu0BbpOHckhRN/Xubs4WS0JTr9OjoX4OaTjLbwDElnj1CYe20Fd7WNDSFtO9Di5lto3qU7bj6V9ylTiovJ/v13stavJ2vzFnTZ2cbXbNzdcY6Kwrl3L1yiorD1rb3+aTqdQmp8DomnM0g8nUHCqQwyr5ReXFWlAt9wN0LbeBLaxouAZu7YmDBiUiksJP/Ev+T9dYi8/QfI3beP4oSE0jvZ2KBp3w7n7rfg3LMnTjd1RmVff2rKhWkkualEbSY3Ua9v4VJ6Hqsm9aRzWN2+URdpixj4/UCS85KZ23su0U2jzXbu5OwCbn5tE4oCO57vT5CHY/k7/vAkHFgOkffD3R+brfzG7GDSQSZsnEBhQT6DcjrS6owzaZcuGl8Pbt2WyNujiejWo+az+V4+CsuGQm4KhNwMD60EjWV/x2pb8sVsjmy/xL97LlOQW2zc7uHvRIuufjTr6ItPqIsxOdQWFxN/4hin9+/h9P49pF66UOp8fk2bE9GtJxHde+IdfG2KioLTp8lYuZL0H35AeyXZuN3W3x/XQQNxGzQIx06d6tTQ6+y0AuL/vdq/6EQaGUmlkx1bBxtCWnoQ3t6bsPbeuHlX8D1QiaL4eHL37Sd3zx5ydu+i6FzpKQhUTk44d+uGc1QULr1uxb5Jk5pckqhjJLmpRG0mN+1mbCCnUMuv0/rS1Mc6Q2Krat3pdfxn+3/wdfTl55E/12iUVHlGLtzB3nNpzB7ejjE9mpTdIT8T3m4FRbn6jqnhPcxafmOVm5nB2u8/4cSWX9EU6v9qttNoaNurHx0H3IFvuJnnw0k8DEuH6idgDOsBD34HDvW72aCoUMvJvUkc2X6pVJ8TZw8HIm72p+XN/qUSmsqkJVzi5N7dnNyzi/gTx0otROoVHEqYhw/ex/7F/sAhDGez8fLCbcgQ3KIH6xOa6/s91VFZqflc/CeVC8fSuPhPKnlZRaVe9wx0Jry9N00jvQlo5o7axvTrKoqPJ2f3n+Ts3EHOjp1ok5NLvW4fHo5L37649O2DU5cuUqtTz0lyU4naSm4Ki3W0/K9++YKDMwbU+U7FD617iENXDjGp0yQe7/i42c//0bZTvL7+H3pF+LB8fDlLBOxdDD89Cz6t4Ind+jptUW0ZSZfZs+Y7jmzdTHGRvt9CtmMxR5pkEnRLF94c8A52NuZNYI3iD8Cy4VCQAeFR8MA39TLBycko4K9fL3Lkt0vGWhq1WkXTTr606xVESCtPVOrq/5zmpKdxat+fnPh9KxeO/Y2uxFexc0ERYe7etBtyJ6Ej7kZdz2/Kik4h+WI254+mcO7vFBJPZZRaYN7B2ZYm7X1oEulDWDsv7KsxwlTR6Sg4fpzs338n5/c/yN2/Xz9E/Sq1szPOvXrhelt/XHr3xqYOjrAVlZPkphK1ldwkZebTLW4zahWcfO0O45DJuuhIyhHu/+l+bNW2bBy5sUZzo1Tk1JVsbnt7G3Y2Kva9NAA3zXU31o97Q8IhGBQHPZ4o/yTihtIS49m96huObf/V2J/Gv1kEN995N0nBCpO3PUuhrpA+IX14p+872NtY6KZ5cR8sHwEFmRB6Czz4bb1pokq5lM3Bjec5secyOq3+69HNR0PbW4No0zMIJzfzvGcF//5LyqJPyVi3jiKtliR3Jy77eZPkZI9Od60Pj2dQCK169KJ1VO9STVf1WX5OEReOpXL2cDLn/k6hIOdaE5/aVkVoGy+adfKlaaQPjq7Ve7+12dnk/LGD7G3byN62DW1KyrUXbW1x6toV19tuw3XA7dgFBNT0kkQtkOSmErWV3BxPzGLQvN/wdLLjwIyBFivHHF78/UXWnFrDkGZDeL3X6xYrp/9bWzmdnMMHozszrGPQtRfiD8AnfcHGHqb80+CGEteG1PhL7Fr5Ff/8vg3l6gyz4ZGd6X7XKELatDc2mey4tIOnf32aAm0BUcFRzOs7D42thVbOvrgPVtwF+RkQ3BUe+r5OdzK+fDaTPWvPcO7wtZtgYAt3Ot0eRpNIH7P9gZL39xFSPv6IrI2bjNscO3XCa8zDuA4YQGFREaf3/8nxnb9z9uBetMXXbvy+4U1p1bM3rXv2xt2v8pnc6wudVkfi6QzO/JXCmUNXSvXVUakgsIUHzW/ypVknP1w8qzfbvKLTkf/332Rt3kL2ls0U/Huy1OuajpG4DRiA68CB2IeF1eh6hOVIclOJ2kpudp1O4f5PdtHMx5kt0/parJyaSs1PZcC3AyjUFfL5HZ9Xe5HMqpiz7hgf/3aa4Z2CeO/+ztde+HEy7FsC7UfCyE8tVn5DlJmcxM7vvuLItk0oV//ab9q5K7fcfX+piehK2p2wm6e2PEVecR63BN7C+/3fLzNM3GziD+prcPLSILATPLyqzg0Tv3zmalLztz6pUamgWWc/Og0IJaCp+Zoucg8cIHnBQnK26yf+Q6XCdcAAvB8dj2Nk+b93Bbm5nNq3m+M7fuPsof3G2jiAwJataRPVh1Y9euHk7mG2OK1JURTSEnI5fTCJ0weTuXI+q9Trgc3daX6TH806++LqVf2kvPDcObI2byFr0ybyDhwo1ffJoXVr3AYPwnXQIByaWmCNNlFtktxUoraSmw1/JxC7Yj83hXmwclKUxcqpqf/99T/eP/A+7b3b8+XQLy1a1r5zqdyzcCfO9jbs+e/tONnbQkE2vN0aCrNg7E/GVaZF5XIz0tm96hsObVxn/Mu+2U030/PeB/Fv1uKGx+9N3MukzZPIK86jq39X5t82H2c7C3V6T/wbPrtTP4rKv4N+4j9n8zd9murKhSx2rT7N+SNXkxq1ilbd/OkS3QQPf/NNFJd//DhX3p1H9tat+g02NrgPHYL3hAk4NG9e5fPkZWfx7+4dHN+xjQtH/jbW0KnUasI7dNLPTdSth0UXJK1tmcl5nD54hVP7r5B4OqPUawHN3GnR1Y8WN/nh7FH99QOLkpLI3ryZrI0bydn9Z6mZnQ2JjtvgwTLyqg6Q5KYStZXcfPXneZ5feZj+rf1YHHPzjQ+wgiJdEYO/G0xSXhJxt8YxrPkwi5anKAp939rKuZRc3hwZyb1dQ2H/Z7DmKfBqDk/tk47EN1CUn8/en1axZ833FBXkAxDatgO3jh5DUMs2Jp3rYNJBYjfFklOUQzvvdiy8fSGeGgtNWZB0DJbdCTlJ4N1CPw+Oh3X6j2Qm57H7x9Oc+PMyKFeTmu5Xkxo/8yUGhefPc+X9D8hcu1ZfM2Bjg/tdI/CZOBH70Jpde3ZaKsd3bOefP7aSeOpf43Zbewead+1O2179CI/sjI1t/Vn65Uay0wo4dSCJU/uTSDiVcW2lchUEtfCgRRc/WnTxq3YfHYDitDSyN28mc8PP5OzaBSWaBDVt2+J2RzRu0dHYBQfX8GpEdUhyU4naSm4Wbj3FGxv+4e6bgnlnVCeLlVMThuHf3hpvfhn5i+U6l5bw4a8nefPn43Rr4sU3sT3gf/3h0j64/WW4dbLFy6+vdDotR7Zu5o9vVpCTlgpAQPMIbr1/LGEdOlZ7JtojKUd4fOPjpBWk0dS9KZ8M+IQAZwt1rkw+qW+iyrgAbsH6JirfVpYpqxz52UXsXX+Ww9suoivWf+1F3OxPt2FNzZrUaNPTufLhAtK+/NJ4c3S7Ixqfp56ySDNHWsIljv2+jX/+2EZawiXjdkdXN1r17EXbXv0JaNGyQa3RlJ1WwKn9SZzcl1SqRkelVhHS2pOIrn406+Rb5RmSy1Oclkb2li1krt9Azs6dpWp0HDt2NA7Pr83JExs7SW4qUVvJjaF/yfhbm/LSUPMsY2BuD659kL+S/2JSx0k83sn8w7/Lk5iRT8/X/7+9846vo7j+9rN7e1fvsiQXyb33DhjTDIGEkpBQE0oICYEkBN6Q0AL8QgIhhBA6JIQSSiB0MOBujHuXbcmWrN51e7877x9Xli1LFpIsuWWfz2e9V7uzu7Pje3e+e+bMOV+gCFh5VQo5/14Isg5uK1YzgB+B8q2bWPby8zRVlAPx9AhzLr+awumz+6XD2ufax/WfXU+9v55MSybPnPkM+Y78oz5vl7iq4jmomvaAKSnuZJw9cWCu1YYSU9i+vIa17+9rn9KdMzyRGRcNIS2v/54BIhKh9fV/0/jEEyiueIdrmTOHtFt/jnHkwD8DhBDU7y2heOVSdq1ejt/lbN+XkJHJiNmnMXLOaSRknNzJTQ/H0xKkdEMDpevradh/0EdH1krkj05h2JR08sckf2Py0e6ItrTg+Wwx7o8/xr927UEfHVnGPG0qjvPOw3bmmer08gFGFTfdcKzEze1vbeGN9VX8cmEhN58+bMCu01e2Nm7l+x99H52s47OLPxuQ6d9H4poX17JkdyNv5/2HSfVvwaiL4JKXjtn1TxZa62pY9vLz7F3/NQBGi5Vp376M8WctQqvr3xg1td5arl98PeXucpKMSTy54ElGJY/q12u042uGV74TnyWnt8J3X4XB8wbkUlW7W1nx7z201MRTICRnW5j57aHkjkzqV0uGd8UK6h/6P8L79gHxPE/pd96BZebMfrtGb1BiMfZv20zxiiWUrPuKaOhgNvKswhGMmHMaRTPnYLLajkv9BgpnvZ/SDfXsWddAa+3BtBc6o4bB41MpnJJOzvDEPgUMPECkoQHPJ5/i/vBDAlu2tG+XdDos8+biWLQI6/z5yMYBmoX4P4wqbrrhWImbA8kif3/haH4wPW/ArtNXbl9+Ox+XfcwFQy7ggdkPHNNrf7K9lp//6yvWG3+CFX/c/2LIace0Dicy4YCfNe+8wcYP3yUWjSJrNIxfeB7TL/7egHZGzYFmfvz5jyluKcakNfHIvEeYkzNADt4hD7x+OZQtj1vuLvw7jL2k307vaQmy6q0S9m6MJ7E0WLRMv2AwI2dnHVXHdjiR2lrqH3wIz+LFAGgSE0m95RYSLv4O0gni7xIOBihdt4ady7+kYtuWdkdkWaNl8MTJjJxzOgUTp/S7YD6eCCForvZRsq6eknX1eFqC7ftMNh1DJ6dTODWd9Hz7UYnccFUV7g8/wv3BB4RKDvo+yRYLtgULsC9ahGXG9BPmu3Cyo4qbbjhW4uaSp1azrryVv10+kfPGnlhm4HpfPWe/fXa/Z//uKeGowoMP3MU94m/4LbmYf7EVTpKQ8gOJEIJdK5ey7F8v4HO2ApA/biLzr7yO5Jxj43zrDXu5demtrKldg0bScNf0u7i48OKBuVgkCO9cDzv/G//7jN/B7NuOyqlciSlsXVLF2vfLiIRiSBKMnpvN1AsGY7T0X+ctIhFa/vlPGv/2JMLvB42GpCuuIOUnN6GxnbjWEG9rC7tWLWPniiU0lu9r3260WCmcMZuRc04nq2jEKeWfIxRBXZmbPWvrKN3QQNB7MGqxPdVE4ZS40EnMOLrZgsHde3B/+CHuDz4gUlPTvl2TkoL9nHNwLDoP49ixp1TbHmtUcdMNx0rcnPnoMkoavLzyo2nMGnr8p70eyuMbH+fZbc8yMW0i/zjnH8elDpV/nEWubzv/SfoR3/7ZI8elDicSTRXlfPHCU1QVbwfiPhLzr7yOwROnHPOHYSQW4Z6v7uG9ve8BcN2Y6/jphJ8OTD0UBRb/Fr56Iv73xKvgvEdB0/s33fpyN0tf2UVTZTxzdsZgB/MuLyIlp39TP/g3bKD27rsJl+4FwDRpEhm/+x3GosJ+vc5A01RRzs4VSyheuRRvy8HAhY70jDb/nPkkZp5as4Ki0Rj7ilvZtqGOkt0t+BVBVAMRjYQl00xKYQLJQ+xg1BBRBGEhCCuCmIgvUQExIVCIv4wIOkzaQpYkJCGI1dcT3bObWPEuZJ8XjaKgiUUx2e04xowhYeIELBnpGGQJoyxj0siYZBmjLGHRaLBoZAyypAqhw1DFTTccK3Ez+fef0+QN8eHPZjMq68RxMgvFQpz55pm0hlp5ZN4jLMw/DtGT63fC32cQERrmRJ7g/Tu/Q6qt73EqTmZCfj9fvfUqGz9+D6EoaPUGpn/7MiYtuui4DhMIIfj7lr/z9y1/B+C8wedx78x7MWgG6P/p62fgk1+DUGDomXDJi2DomQUkHIyy5r/72La0CgQYzFpmXDSEkbOyjir30+HEvF4aHnkE52uvA/EhqLTbb8dx4bdO6k5IUWJU7thG8Yol7Pl6NZHgwQjBmcOK4v45M+Zgtp84z7GYELRGYjRHojSFIzRHYrRGovElGv/sisZwRWJ4YjHcUQV3NIY3FiN2kvR4Wol2oWPTarC1re1aDY62xa7VkKDTkKDVkqjTkKjTkqiNr039OPx6otCb/lsdCBwAhBA4/fFkhYknWMLMj/Z9RGuolUxLJqcPOv34VGJj3Fq0zjCdupCDdzZVcf3cngczOxUQQlDy9SqWvPQM3rap3cOmzmT+lT/Cnpp2nGsHkiRx0/ibyLRkct9X9/Hhvg+p9FTy2PzHSDUPwKy2adeDIwfeuhZKF8PzC+F7r0FifreHVe5sYcm/drX7VBROS2fWd4b1W/6nA3iWLKHu3vuI1tUB4Lj4O6T/8pdoEhL69TrHA1nWkDdmPHljxnPGtT+mdP0adq5Ywv4tm6gt2U1tyW6W/uNZ8sdPYuSc0xk8aQo6/cCIXEUImsJRakIR6kIRakJh6kIR6sNRGsKRtiVKcziK8s2n6xaTLGPWyJg0EgYk5GCMmCeK8EXRKAKNAloBDoeBxBQTjiQjWllCI0lo2rSsBEhISMQtOAoCRYACbZYeQURpW0ei+Bsb8Dc2E/B6iWi1hHR6wjo9YauVkMlMSKMl2GZviAriAi0ag1DkCHfR3f1JJOm0JOu1pByyTtXrSNVrSdVrSdPrSNPrSNJpkE9igd4VquVmAPAEI4y55zMAiu87G9NRTEHsT4QQXPL+Jexu3c2tk27l2tHXHvtKRALwSBEEXSyZ8jTXrLAxJNXC57fNO6nffnuDq6GOL154irJN6wFISM/k9GtvpGD8pONcs65ZU7uGXyz9Be6wmzRzGo+f/vjAzaSq3gCvXQ7euvhU8Uv/AQVzOxUL+iKseruUXatrAbAlGznt+8PJHdm/qR2ira3U//6BeCA+QJebS+b992GZPr1fr3Mi4nO2xv1zli+hoXxv+3a9yUzh9FmMmD2fnJGjkeWeP99iQlAbilARCLM/GKIiEKY6FKY6GKEqGKYmFCHSiy4pUashRa8lWaeNWy0OsWI4DrNy2NoWiyYuajRHeN64GgOUrKtjz9p6Wuv87dsNZi1DJqZRODWdrKEJR2UVjDY34/74E9zvv99xxpXBgOm009GdvwgxdRoBjQZPVMEbPWCBiuGJKm2iJ4qzzTrlisZoiURpjcRwRqNEe9mrayXahU6GQUuGQU+GXkuGQUemQU+mQUe2QYdFe3z7MnVYqhuOhbipbPEz5+ElGLQyu39/zoBcoy+sqV3DdZ9dh1Fj5PNLPsdhOA5m5i2vwzs3QMIgPDesZ+qDSwhEYrz94xlMyjuxcg71N7FolPUfvMOat18nGg6h0WqZ8q1LmHbhJWj1J5aF73D2u/fz0y9/SpmrDIPGwP2z7uecggH6brtr4jOpajaBpIFz/gBTr2vfXb6tiSX/2oXfFQYJxszPYfq3BqM39q8h2vP559TefU88m7Qsk3T11aT+9GZk0wDl4TqBaarcT/HKpRSvXIqnqbF9uzUpmeGz5jFi9nxS8wqQJImYEFQFw+z1hygLtC3+MGWBEJXB8DeKFwlI1+vIMOjIMsTX6XodaYa4pSFdH7c+JOm06Ppx2PFwhBA0VXrZs7aOknX1+Fzhg/edaGDY5HSGTU0nJcd6dDOuKipwffAB7vc/IFxW1r5ddjiwL1yIfdEizFMmI/Vw0oUQAk9MoSUSt3A1R6I0tX1uCkdpjERpDEdobLOGtURi33zSNuxamUyDniyDjhxjfJ1t1JPd/rd+QP9PVHHTDcdC3GytcnLBE6vIsBtZ8//OGJBr9IUbFt/A6prVfG/49/h/0/7f8anEC2dDxVdw+l0w91f86s0tvLmhioUj03nmysnHp07HgJo9xSx+5gmaKvcD8ZQJZ/zoJpKzj08Kgr7gCXv49fJfs6I6nvjx2tHX8tMJP0UrD8DodiQQT8ux7c3435OuJjz/QVa+U0Fxm7UmId3M6VcMJ3NoQr9eOuZyUffAA7jfex8A/dAhZD30EKYxY/r1OicjQlGo2rWD4pVL2bFuDbU6E82JaTQnpuHNGoQnLZtarYFwN72KVoIco548o4Fco55co55sY7xzzDHqSdfrBrSD7AuKIqjZ08qetfXs3dhAOHhQECRmmBk2JZ1hU9KPKtK1EILgzp24P/gQ94cfEm1oaN+nTU/Hfs452BctwjhqZL9aucOKQlM4Sn04Sn0oQn04PiRY2/a5JhShNhTGHf3mgUAZyGgTOoOMev46YlC/1lUVN91wLMTN8j2NXPnCWoZn2Pjk551N6seD3S27ufj9i5ElmQ8v+pAcW86xr0TDLnhyWvxt/NYdYM+ktMHLmX9ehhDw8S1zGJE5cE7ex4OQ38eK1/7JlsUfgRCYbHbmXfFDRs49/aQchospMf6y6S+8uP1FAKZkTOHhuQ8PTBBIIWDVY/D5vVSFRvOF7za84QSQYPwZuUy7YPBRRZ3tCu/y5dT+5i6ijY0gyyT/8FpSbr4Z2fC/6fAOEFEEewNBdnmDFPuCFHsD7PYFqQiGOVLnoY3FyJYUihIdDLVbKTDrKTAZyDMZyDLojjgkdDIQjcSo2N7CnnV1lG9tJnZIp5+WZ4sLncnpR5XMU8Ri+Netx/XB+3g+/QzFczDysj4vL576YdF5GAYPPqp76Q3eaIyaNj+omlCE6mB8OLEmFKYqGKE6FCakHPxGZBl0bJzZv8PXqrjphmMhbv67uZpbXt/M9MFJvH79jAG5Rm+5Y8UdfLjvQ87JP4eH5z18fCrx4S9h3bMwfBF895X2zT95dSMfbq3lvLGZ/O3ygQ3FfywpWbuaL194qt1heNS8Bcz9wTUn1KyTvvJJ2Sfcvfpu/FE/qaZUHp77MJMz+t/yFg3H+OrFJWzdFDfJ27UNnPHtJLJO799ZforfT/3DD+N8/d8A6AsKyHroQUzjx/frdU50WiNRdngD7ctOb5DdvuARh5IStRqKLEYK9BoSGqsROzYT27IWu8eJLASSLDNo9Lj2jOUG8wBlnj9OhAJRyjY3smddPVXFLe1ZGZAge1gCQyenM2RiKiZr34edlXAY34oVuD74AO+SpYjgwYCEhuHDsZ93LvZzzkWfc3yn7R9wBq8MhtjnaSQU9fKD/P61dqriphuOhbj5x+py7n5vB+eMzuDvPzj+TqI13hrO/c+5xETsuATtA+IRaR8ZAWEPXPlfGDy/fdeuOjdnP7YCSYLFt85laNqJGwStJ3hamvjyhacoXbcGiMesOfO6mxk0etxxrln/ss+1j18s/QWlzlI0koZbJt7CVaOuQpb6ZwpqY4WHxS/saHfqHJWygZnyn9DLwXiwv9N+06d4OIcT2LKFmtt/TXh/fMgw8YorSPvFbad8+PzGcIQtngDbPH62eQJs8waoDIa7LGvVyAy3GBlhNVFkMTLcYqTIYiRFp+1kgfS2NLNr9XJ2rVpO/b6DUXs1Oh0F4ydTNHMOQyZORXeKta/fHWbvxgb2rK3vlMwzd0QiwyanUzA+FYOp79/ZmNeH98svcH34Ib5VqztkLTeNG4f93HOwnX02uvT0o7qXnhKJtOLx7sLn3Y3XtwefrwSfr4Ro1IPZXMCM6Z/36/VUcdMNx0LcPPb5Hh77vITvTR3EQ98+/uP0f1j7B/5V/C+mZU7juYXPHZ9KrH0WPvolJA+Dm9d1ikJ7/T/X89nOei6akM2fLxt/fOp4lAhFYesXn7D8lZcIB/zIGg1TLvgO07592YBNnT3e+CN+7lsTnyoOMCtrFr+f/fujGqZSFMGmz/az9v0ylJjAbNdz+lUjyCuywWd3wdqn4wUHzYCLnobEvqU3EdEoTX9/iqannoJYDG16OlkPPXjc8kENJM5IlM0eP1vcAbZ4/Gzx+Kk+wvTiQUY9o60mRlpNjLIaGWk1Mcio79MwamttdbvQaamubN+uNRgYMnEqRbPmUjBu0gnvUN9b3M2BtmSeDTRWdEzmOWhkMkMnpVEwNgX9UQidaGtrPJnnRx91TOYpSZgnTcJ27jnYzzyzX7KWCyEIBCrweHfg8ezA6y3G691NKFTXZXlJ0mA2D2Ha1A+QpP4bOlbFTTccC3Fzz3s7eGl1OTfNH8LtZw8fkGv0FFfIxZlvnUkgGuDpBU8zM/s4PLiFgCenQ+MuOPsPMP3GTkW2Vbk4/4mVyBJ8+Yv55KecXObr5qpKFj/7V6p37QQgc2gRZ97wU1IH5R/fih0DhBC8uedNHl73MKFYiCRjEvfPup+5Ob33N3M3B/j8xZ3UlsbffAdPSGX+94s6mvW3vw3v3RK3AhrssOjPMKZ3KSLClZXU/PJX7dNw7eeeS8bdvzslsjqHFYXt3gAb3X42tS37AqFO5SRgqNnAWJuZMVYTY2wmRltNOHT97yAuhKBxfxm7v1rB7q9W4Ko/2CnqTSaGTJpG4fTZ5I+beMoJHWe9n5L18RxXh04t12hlBo1KYuikNPLHphzVbL9IfQOeTz/F/fHHBDZtOrhDkjBPmYLt7LOwL1yINuWbXzqEEASDlbjdW+OLZzte706iUU+X5Y3GXKzWIqyWQiyWYVitRZjN+chy/7/QqeKmG46FuLnl9U38d3MNvzl3BNfN7YPDV/1OaC2HwrOgFzEkuuKZrc/w101/pSixiDfPf/P4OLGWrYB/LAKdBX5RDMauO5AD2cIvnZzDwxefHEM40UiEte++ydp33yAWjaIzGJn9vSsZf9Z5vYr/cSpQ2lrKr1f8mj2tewD4btF3+cXkX2DU9mz4oWRdPUtf3U04EEVn0DDnsmEMn5HZ9Xe2pQz+cz1UrY3/Pfa7cO4fwdj9b1oIgfu996i7734Unw/ZaiXj7rtxnL+oV/d6IlEXirDO5WO928dGl5+tXn8Hx84DFJj0jLeZGWczM84eFzTW4xC3RAhB/d4SdrUJHW9zU/u+A0Jn2PRZ5I+beMpZPJurvXGLzoYGnPUdhU7uyINC52iGriI1Nbg/+RT3p58Q3LL14A5Zxjx5MrazFmJbcCa69Hiw0EjEjdu9GZd7M27XJtyebUQirZ3OK0l6rNYibLaR2KwjsVqHY7UWodUeOzcCVdx0w7EQN1e9sJZlexp5+OKxXDq5F1N9I0FY9n+w6nEQMUgbCWfeB0MX9CmZYCgWYuFbC2kJtvDQnIdYNPg4PcDfuDKeHHHSNXD+Y0cstrGilW8/uRqtLLHkl/PJTer7tMpjQfXuYj57+vF2c/vgiVM444c/xp5y/CMMHy9CsRB/2fgXXt75MgAFjgLun3U/41KPLFbDwSjLX9/D7jXxt/mMwXYWXDMKR+o3xJOJRWH5H2H5w/G0DQmD4Ft/6zLoH0DM46HunnvbA/KZJk0i++E/oMs+efInRRXBTl+AtS4f69sETVWw8/BSolbDBLuZSXYLE+xmxtvNJA2AReZoEYpCbelu9qxZye41qzoIHZ3ByOCJUyicPov88ZPQG0+d+ELxrOVxobN3Y2MHoSNrJXKHJzF4QiqDx6VitPY9DUu4qjpu0fn0U4JbtyIQxNIgPEQQm5pIZLAgqGvqdJwk6bBah2O3j8VuG4PNNhqLZSiyfHwzx6viphuOhbj51hMr2VLl4tkrJ3PmyB46dlV8Df/9CTS3OeBpTRBty/FSMDcucrIm9Koeb+55k/u+uo9MSyYffvtDdMfji+mugT+Pjou1H6+G9O6nBv7gua9ZWdrE96cN4oGLjr+/UlccPr3b7EjgtKuvp2jGnJNyevdAsKp6FXetuoumQBOyJHPlyCv5yfifdLLi1Je5+eyFHbgbA0gSTDo3nynn5iP3Ji9OxRr4z3XgrIj/Pfna+O/lkNxU/o2bqPnlL+PZmjUaUm/+CcnXX4+kObGta/6Ywka3j6+dvrigcfvwxTrGG5GBUVYTE+1mJjssTLJbKDD1zUfmeCIUhZqS3ZR8vZI9X6/uECxQq9OTN24iw6bOYPCkqZisJ/ekg0MRQtBS42sTOg0dhq4kWSK7MIHB41MpGJeKNbF3lixFieL17sTpXEdL7Qpc7g1ENf5O5bQuPVZpKEn5p5E8eAFWa9GADCsdLaq46YZjIW7mPryEihY/b904g8n53xB1NxqGz++GNX8HBFjT4bxHIG8WrHwUvn4aYm0zGOb9Gk7rWfC9SCzConcWUeOr4fYpt3PFyCuO7qb6ypIHYdkfYNBMuPbjbyz+9b5mLntmDVpZ4qNb5lCYfmI9xDpN756/gHlX/PCUetj2F66Qi4fXPdyeXTzfns/9s+5nfNr4g07D75WhKAJrkoEzrx1FVl8D8gXd8d/R+hfifzty4YLHEfnzaHrqKZqe/DvEYuhyc8n+48Mn7BTv1kiUtS4fa5xevnb52Orxdwqlb9PITHZYmOKwMNVhYbzNfFyGlwaSA0NXe75exZ6vV3Xw0ZFkmdyRYxg6ZTpDJk/HnjIAuc6OIy21PvZtamDvpsb2DPcHSC+wUzAuhcHjU0nM6OyXqCgRPJ5ttLZ+Tavza1yujcRivg5lZFmP1TAcY70NzdfNKJ/vQ3OIO41+8GBsZ5yBbcEZGMeM6XFk5GOBKm664ViImzH3fIonGOXz2+YxNM3afeGlf4ClD8Y/j7scznoAzIcIotb9sOQB2BqPv8Flr8CIbx5eemP3G9y/5n5STCl89O2PMGmPg0k3GobHRoO3Hi5+AUZ/p0eHXffP9SzeWc/kvETeuGEG8gkQrbSr6d0LfvQT8saMP74VOwlYVrmM+766j4ZAAxISl+X8gKLNp1FfEn+iDp2cxvzLizCY+8GyuG8ZvHczOCuI+DRUbyskUB53TrZfcD4Zv/sdGus3/CaPIY3hCGucPr5yelnj9FLsC3YKjJdl0DHVYWFagpVpDgtFFuNJHQSvtwghaKoop2TtakrXfkVjRXmH/WkFQ+JCZ9K09hQQpwquRj/7NjWxb3MjdWUuDv1yJKSbyR+bSObwZiTLNlzONThdGzqJGa3WRoJjCgkJk3EkTMZuG93BKhNtasLz5Zd4Fn+Ob80aiBwc5tSmpmI943Rsp5+Oedq04x7MUhU33TDQ4iYaUxj6m7iFYsNdC0i2dvNlCDjhsbEQcsH5f4FJVx+57Ke/ga+eiDvj3rgy7l9wBEKxEOf+51wa/A3cMfUOvj/i+327maNl+9vxLM/WdPj5dtD2bBZEjTPAgkeX4Q/HeOjbY/je1CPf60CjKDG2fPYRK1//J+FA4H9ievdA4A67+eO6P7J57V7m7/0exqgFSSc47Xsjjuw03FdCXtyP3kjta+tQwjKyVpDxo0U4fvYwHOe30IZQhNVOL6udXr5yeinxd57FNNRsYLrDyrQEC9McFnL7OA37VKW1roa969ZQun4N1buLD06BBmwpqQyZNJUhE6eSM2osWt3x9RHpT3yuEPs2N1JevAWP72vMqTsxp+5GY+g4zKTVJpCYOJXEhGkkJEzDai3s8XTsmMeDd/lyvF98gXfZchTfQaEkmc1YZ83EetrpWOfNRZuc3K/31xNUcdMNAy1umrwhJv8+Hrio9IFz0HbnO3BgyCZtJNy4qvsHbzQML54dz5qcMwWu+Rg0Xf9wXyl+hf9b+3+km9P58NsfYtAcp074+bOgcg3MvR1O/03vDl1Zxv0f7MRu1PLFL+aTajv291BftpfPn32Cur1xP6jMYUWcef3/xvTu/iYSjrH6rVK2L68GoMFSwRfD/smw/Dzumn4XQxKG9Mt1FL+f+of+D+eb8ZxUxnQt2ZOr0dtikD0JznsUssb3y7V6QmM4wqrW7sXMCIuRGQlWZiRYmZ5gIVV/6nTIA43f5WTvxrWUrltDxbYtRMMH21dnNJE3ZhwFE6YweMJkrEnHvjPuD8LhFlpbV9PSsormlhWEQrUd9isRE76GQvwNw/E3FBHx5pBdmETemBTyxyTjSO3bxAwlHMb/9dd4vvwS75dLiNbXH9wpSRjHjsE2fz7W+fMxDB9+TAS4Km66YaDFTWmDlwWPLsNm1LLtnrOOXDDQ2ma1ccMl/4BRF37zyVvL4am5cUvPzJ/Bwvs7nzYa4Jy3z6E52Mxvp/+WS4su7fO9HBUVa+CFs0Cjh1u2gj0TIQRKVCBrpW/8IURjChc+uYrt1W6+NT6Lv3y3d87UR0M4GGD1G/9i40fvI4SC3mRmzveuYuyZZ//PTe/uD5qqvHz2/A5aa+NvgWMX5LBr6HKe2f40wVgQjaThksJL+PH4H5Nk7Htm+OCuXVTf9gvC+/aBJJF83XWk3nQj0uZ/wJe/j8fFkWSY8AM47S6w9X8U1+ZwlNVOL6ucXla1ejqJGYm48+/MBCszEuJDTSfiLKaTkUgoSMX2rezd8DX7Nq7D1+YXd4C0/CEUTJhM/viJZA0bjnyCOpMrSgS3ewvNzctoblmBx7OdQ8ejJEmPwzGBpKRZJCXOwmwZSf1eH+Vbmyjf2oSrMdDhfAnpZvJGJ5M3OpmsoQlodL23Xh5I6un9cgmeJV8S2lncYb82PR3LnNlY587FMnPmgA39quKmGwZa3Kwvb+Hip75iUJKZ5befduSCX/4+Po01fTTcsKLn5vKd78Ebbc7Bl78Rj4VzCC9tf4lHNjxCtjWb9y98H90RrDsDgbspQFOVl9Y6H62rP6GlRcYr5xKVzcSiCkqbZ6SslbDYDVgSDFgS9FgTjaTl2cgY7MCWbGwXPtuqXHzrbytRBPzj2qnMK+yZ46AIh4l5vShuN0IRaBIT0Dgc3+gYJ4SgZO1qlvzj2fYpqYUz5nDaVddhTex7p/u/ihCCbUurWP32XmJRBbNdz4KrR5I7Mt6W1d5qHl77MF9WfgmATWfj+rHXc/mIy9Freh7ITQhB68sv0/DHPyEiEbSpqWT98WEs06cfLOSujUc33v5W/G+dBWbfCjN+Avq+hxxwRaJ85fSxyulhZWvcZ+ZQDhUzM9ssMwmqmBlwhKLQUL6PfRvXsW/Turj19ZCuzmCxkDdmAvnjJ5I/diK25AFI/NoLgsEampuX09yynJaWVcRiHR2JrZYikpJmk5Q0i4SEqWg0XftQCiFw1vsp39rM/h1N1Ja4UA6JeaTVy2QXJTJoZDKDRiX1OYt5pL4e77JleJcuw/fVV4jAIYJKq8U8YQKWuXNIuuKKfk1jooqbbhhocbN4Zz3X/XM943Ic/Pfm2V0X8rfErTZhD1z6Moy8oHcX+ehXsPYZMCXFp1fbMwHwRXyc8/Y5tIZauW/mfVw07KKjvJvuiUUVakqd7N/aTPm2zm8MfcFs15Mx2EF2UQKDx6fxyMpSXlxVTm6Sic9+Pg/TIVmgoy0tBLdtI7B9O8Ft2wnu3k2stbVDYrl2ZBmNw4EmKQnD4MEYx4zBNGY0xtGj0dhstNZW8+WLT1O+ZSMAjrR0zvjhTRSMP/65wU5G/O4wX75czP5tzQDkj0nm9CtHYLJ1Fi3r6tbxx3V/pLgl/jaYbc3m5gk3c07+OWi+wVIWbWqi5s7/h2/FCgCsp51G5oMPoE1M7PqAiq/h0/8H1evjf9uz4fS7YOxlPQqY6YvG+NrlY2Wrl1VOD9s8AZTDygy3GJmVYGVWYnyoKVEVM8cdv8tJ2eYNlG3ewP6tmwh6O0bbTc4ZRN7YCeSPnUDOiNEDnvdKUcI4XRtobl5Kc/MyfL6SDvt1ukSSkmaTnDSHpKQ5GAx9i50VDkSpLG5h//Zm9u9oxu/qmDvMnmIkd2QyuSMSySlK7JNTvxIK4V+7Du+K5fiWryBcXg6AJimJYStX9OtsK1XcdMNAi5s31ldy+1tbmVeYyj+undp1oS/ugxWPQPoYuGF5750coyF4bgHUbYXRF8PFzwPw7NZneXzT4+TZ83j3W++ilQcmjHp9mZvty6rZt6WRSDDWvk/WSCRlWUiK7iDRs4Kk/EzsF96BVqdBo5PRaGU0WolQIIrfFcbnDOFzhXA2BKjf56Kp0tvhLQMgtcDOx04X62MhLpw5iN+Ot+L68EPcH31MeO/ebusqm80gyyhe7xHLxCSJsuGDKTVIKEKg0WqZcsF3mHrhJegMp1Ziv2NF+bYmvvxnMQFPBI1WZuZ3hjJmfna3Q5ExJcb7+97n8Y2P0xiIxzcZmjCUn4z/CWcMOqPLYz1Ll1L7/35DrKUFyWAg7fZfkXj55d889i9E3Nn983vA1ZbvKHkYnHYnjLyow+8xEFPY4PaxqtXLylYvmzy+TlOzh5oNzGwTMzMTrKrPzAmOosSoKy2hbPMGyrdsoH5vKUIclKiyRktW0XAGjR5H3pjxZAwp7JchrFCogebmZTQ1L6WlZeVh1hkZh30cycnzSE6eh802ql9zMsGBwIE+KnY0U7GzmdpSF0rs0OEuSMu3kzsiiZyiRDIGO/o0hOUsKWHn558TiUSZ97Of9uctqOKmOwZa3DyzfC8PfrSLC8dn8VhXfiK+ZvjLWAh7ezytu0tqNsMz8wEBV32AO3sc57x9Du6we0CiEUfCMUrW1bNtaVWH2Asmu5680cnkj0kmd0QS+mAtPD4elCj86EvI6bnlIxqO0VDhoW6vi/KtTdTudXXYb3CXUVjxGcnN25HbHkb6wYMxjh6FafQYjKNHoU1LQ2O1IlutSNq4uBPhMFGnk1irk2hTI6Fdu/Bv3UbZnp1sM0oE2zqjFI+fsSHInH869kXnYRo/Xp2l0gui4Rir3y5l27K403BSloWFPxxFcnbPx9/9ET+vFL/CiztexBOOv12PSBrBzRNuZk52PEiiEgzS8KdHaP3XvwAwFBaS/cifMAwb1rsKRwJxC+jKP8d94IBw2lg2z/otK+1jWeX0st7t65TKYJBRz6xEK7MTrMxKtJFhUMXMyUzA66Fy+xbKt26ifMvGDsEDIZ4SImfEaHJHjiF31FhS8wt65HsnhILbs43mpiU0NS9p8505iE6XRHLyXJKT55OcNBud7gjWxgEiHIxSs8dJZXELlcUtHYIHAmh1MplDHWQXJZJdlEjaIFuXwTWFENTX17Nnzx5KSkqoqqpCCIHVauW2225DVi03x4aBFjcPf7KLJ5fu5eqZ+dxzQRfReD+/J/4wzRgbt9ocTef5wa3xoGWpI3hw0iJe2/1vhiYM5a3z3/pGc35PCQejbPmiki1fVBLyR4F4HpRhk9MYOSebjAI70qFxaD65E9Y8Cflz4OoPjuraztJqdrz4GeVlUZy2grgzKGBQfBQVahj/3anYcno/Vt64v4wlLz1D5c5tAFjMFsbpbSSs2wT+gz9ww/DhJH73MuyLzkdjPbkSeR5rGis9LH5h50Gn4dNzmHHRELS6vn0P3WE3/9zxT17e+TL+aPz/pCixiB+bziL/sf+2W+0Sr7yCtF/8os/xN6KKYFtLIyu3LWW108Ma20gCh/kzpOu1zEq0MTvRyqwEK3kmNQTAqYoQAmddDRXbt7B/22Yqt28l6Oto+TVarGSPGE3uyNHkjBjdQexEo15aWlbR1Pwlzc1LCYc7pjaw28aSnDyflJTTsNlGI0knToA8T0uQyuIWqna1UrW7lYC74xCWzqAhc2gC2YUJpA+24ok1UVpawp49e3C73R3KpqenU1hYyJw5c9D3YyJUVdx0w0CLmzv/s43X1lbw8wXD+PmCwo47wz74U2HcavPd12D4uUd3MX8L/HUSO2MevpedhYLguYXPMS1z2tGdl/hb+Lal1Wz8dD9BXzyokz3FyOi5OYyYmdl1vhN/SzzVQsQHP3g7nhOrD4Srqml+7llcb/8H0RZQKjZqMssyziIQy8BE/IGg0coMn5nJxIWDsKd8c5BCv9vF6jdfZevijxFCQavTM/mC7zD1W99BZzCiBIP4Vn+F59NPcH/yKSIUn+kiWyzYLzif5KuvRp+X16d7OlVRYgqbFlew9v0ylJjAbNdzxlUjGDSqf6bdtgZbeXH7i/y7+DXOXOXnsuUKWgUiiVZyH/oDifNP79X5YkKw0xtgVWt8RtMapxfPYekMkiIuZjo3Mbt1I7OVWoZMvBRp4g9Ad+rkNlLpGYoSo7G8jIodW6ncsZXqXTsIBzr6FlpSNeRMMmLNdhHTlgHR9n0ajZXkpDkkp8wnOXk+Bv3xdVzuKUIIWmp9VO1qpXp3KzUlTvxBH2FDC2FDM2GDE6SDvxuNRsvgggKKhhcxbNgwHI6ukyMfLaq46YaBFjc//tcGPt5ex70XjOKqmfkdd259I54DJ7EAfrbp6Kw2bSjrX+SKDQ+x1WjgnJzTePiMx4/ufIpg58oa1n1Y1u58lpBuZuqiAoZOSutopTmcA9GWM8bEZ4D18v4Un4+mp56i+aV/tEfJNE2YQMqNN2CZOxd/OMbFT6yC6gCzhYGEQPyrK8kShVPTmXhWHkmZnS0s0XCYjR+/x9fvvEE4ELcCFE6bxdwfXIsjrevpwDGnE+e77+J8/d/tDnLIMvZzziH5+uswFhX16t56QzTqIxxuJBxuIhxuIhRuJBJuIRp1E426iUTdRKMeYjE/ihI6ZDnwpnXoT1pGIxuQZD0a2YAsG9BorWi1NrSatrUuAb0+Ob7o4muDIRONpnufI2eDny9e2kndvvhbW8G4FE77wfAunYaPhnBVFZW/+iXhTVsA+LpI4pmzZXRJyVxceDGXFV1Gmrlrh0tFCIp9QVa1eljt9LLG6cMZjXUoY9fKzEiwMjvBxqxEK8PlAPL65+MpUfxxh2jMyfHEr1N+CPasfr0/lZMHJRajbu9uyvd8iNO5AmHeizGh4wSGkEtPzD0Im3ka2XkLyS4ajdmRcHwqfBQIIaitrWXPnj3s3r2b2tqO8XXkmB59KBl9MBl92IFGoyV1kI3MIQ4yhyaQOcTR788CVdx0w0CLm+8+8xVr9rXwl++O51vjD8s2/PK3Ye8XMO+OuPNiP/D27re4Z829WBSF92xTSbv4xT6fq7bUyfJ/72n3qbElGZmyKJ+iaRnfnMgw7I+nWvA3w3eehzEX9/i6QgjcH3xAwx//RLShAQDz9Omk/PjHmKdO6eD3sr/ZxwVPrMLlj3D54DSmB7VUFsf9JZBg2KQ0pp4/mIR0M0JR2LVqGSte/2f7OHpa/hDmXfFDBo0e2+O6+b/+mpYXX8K7bFn7duv8+aT8+EZM446c7frI54wRDFbj95fh95cRCFQSDFYTDNYQCFYTjTp7fc6BQKdLxGDIxGjMwmjMwmQahNmUj9GYS9kGDavf3k80rKA3aphzWSFF0zP61UdJCIHz32/Q8PDDKH4/ssVC4h2/5OPCIG/ueAuX14VO0WEURsYljmNK6hRSDOmUK7A9JrNTaChGi+8w078JwWgtTNDLTDbrGW0zYbNYMJlMmEwmNG3Oo8LvRVn7BrG1byK8LhRhQkgWROZ0xKD5CEdeXEcKEV9LIGkk0MpIGglJKyPpNchGLZJJi2zUIJu0SAaN6st1khGNemhuXk5T05c0NS897Dcqo4kV4K9LpmZzGFdV50CNCemZZBUOJ3PYcDKHFZEyKB+N9sSbRReJRNi3bx979uxhz549eDwdZ5VlZ2dTWFhI4bBCdIqV2lIXNSVOakqdnWZiyVqJ6/88r09OyUdCFTfdMNDi5uzHlrOrzsM/r53K3EPjsnjq4dHhIBT46UZIPvqIrM6gk/PfPR9nyMmvmlu50u2Baz6BvBm9Oo/PFeKr/+xl99fx5HQGs5ap5xcwak42Gm0Pv5gr/xz3J0rIi9+fpmc/3ODuPdTdey+BjfEp2LrcXNLvvAPraacdsQNYWdLElS98jSLgssm5/HxiHps+3U/ZlrbxbQmyh7pw1S6hqXIfANbkFOZ890pGzJ7f56mJweJimp99FvfHn7THzLDOn0/qz2/BOHx4p/JCxPD79+Pz7cHr24PPuwevr4RAoAIhwp3KH4osmzAYUtHrDyxJaLUOdFobWq0drdaGRmNBlvXIGiOybECWdO1+SRJSex0OWHUOWHiiUS/RqCe+xDxEIq2Ew82Ew81Ews2Ewo0oSvfT+oUiEfGnIMcGkTN0LInJw7FYh2G1DEOj6XvcGEVRcLlcNO3dy/5//JOWulq8Viuh1DQiGel4g0HC4YNtpyDRZHNQ60ihxpFMrSOZsK7j26IuGiHD1UyWq4ksZxOpHhdypwxOBzGgwyz0mBUDFmHAjAGrMGIXJmzChEUYkDmKB7ZWRmPVIdv0aKw6NA4DmgQD2oS2daIR2abv3kqqMuD4/WU0NS2hqflLnM51CHFwuEmrdZCSPJ/klNNITpqLThcfhonHmamlungHNXuKqdmzi+aqik7n1ur0pBUMIXNYIelDCskYMoyE9H5OQ9JD3G53u5jZt28f0ejB+9TpdAwZMiQuaAoLsR4hOJ8QAk9zkNpSJ7V7XdTudaE3avnO7f0bSkMVN90w0OJm2oOfU+8O8f7NsxmTc8i441d/i8fXyJkCP/q8X651z+p7eLvkbYYlDuMNkYV208uQNgpuWHbE1AyHoijxIGtfv7cvPqVbgpEzM5l+4ZDemRO9jfD4hHjcngufgvHf+8ZDRCRC0zPP0PTU0xCJIJlMpNxwA0nXXN0j59C3N1Txq7e2oAhYNDaTP182HmeNj6Uvf0nljo8Q0fiMHVlriOeCuvDb/Ta1O1xeTtMzz+L6738hFh/isJ67EPN15xK0t+Lx7sTj2YnXW4yidBFzh3hmXpMpD7O5AJNpEEZjDiZjNkZjNkZjFlrt8csyLoQgGnUTDNUSCtYSDNUS8FdSX7kbt7MMraUeja7z22kcCZMpD6t1ODbrcKy2kdhtozEY0jtdw+VyUVtbS0NDA01NTTQ2NtLU1NTh4Xo4UVmmwZZIQ2IqdYmpVFsTiBzmPK+JhUj01lAQ9TJZ1jEmZkT2R4j5IkT9YcLBMOFwmKiIEZVihIgQkiKEpCNf91BkwCYkEgVti0SSNZWkpGEYLFmIGBBTEFEFJRRDBGMowShKMEqneeRHakWdjDbZiDbZhDbFhDbVjC7djDbdjKzv3ynCKnEUJYLTtb5tdtOX+P1lHfabzUNISTmdlOTTcTgmIvcw1EbQ66W2dDc1e3ZRV7qb2tLdhA7J2XQAo8VK+pBhpBcMIX3wUNIKhuJIS+93waMoSvtw0549ezoNN9ntdoqKiigsLCQ/Px9dH/JziZgg4gqiT+pfPzVV3HTDQIubors+JhRVWHH7aeQmHfIG+/RcqN0C5/4Jpl531NfZ2riVH3z0AwSCl85+iUnWfHhiMgRa4Mz7YNYt3R7fVOVlyb920VAe95dIy7cz97uFpOf3oU3e/zlseBEyx8N1S74xbk+wuJia//cbQsXxoG3WM84g467foMvM7NVlP9pWyy2vbyISEyzKDDPPu4mKrXELkCRpkfXj0BqnYDDbmHBWHuPOyEXXDx2DEIJAYD/Nez+nce2/8VJGJEdAF88AWTZhtQzDYi3EainEYhmG2TwEozGj3+NYDBTOBj9LXt5FTYkTgMyhduZ8Nw2tpQafby8+f0l87dvTaXbIAXTaFCQ5n2AwjZZmO5WVWrzerh/aciyGxefDLstYJk+hMTuPfToTOxWZXeEYkcOeWA6thmkOC+MsGnQ1WwkVbyShRU9hII9BoUx0dN0JxQWECU2SEW2CAcmuI2KGoC6CT4TwRfx4gj48Hg9Op5PW1lacTiexWKzL8wHYJD/pDiPpeYWkDxlLZmYmycnJ7dNhlXAMxRsh5g2jeOLrmCtEzBki2hpq/4xy5MeyJtGALt2CLsuCLtOCPtOKJsmoWnr6QDjc1B57prl5eYfYM5KkJSFhKinJp5GScjpmc36/XFMoCq11NdSW7KZu7x7q9pbQWL6PWBei3mCxkF4whNS8waTlx5fErJxeD2mFQqH24aaSkhK8h8X+ys7Obhc06el9E1SKP0JwTyuBXS2E9rSiTTaR9pPxvT5Pd6jiphsGUtwEwjFG/O4TALbdsxCbsa23a9gFT04DWQu/2AOWo5tJ4o/4ufzDy9nr2ssFQy7ggdkPxHdsegX+exNoTfCTNZCY3+nYaDjGuo/K2fxZBYoi0Bs1zPj2UEbNzurbw7F+Jzw1Kz7cdvVHkD/riEVFJELTU0/T9PTTEI2icThI/+1vsZ93bp/fTt77dAVLXnuFnEAVALJGw5jTFzL1ostw1cusfqe03YfI7NAzdVEBI2ZmfrMP0SHEYiHcnq24XBvbl0ikpVM5yQe6Cgl9rZbEgvlkLroJa9qJNd2zN8SiCps+q2D9x+XEIgpavcyMi4YwZl7OEb8roXATbvdOamvW0dyyhXC4BI2mEUnq/JgJBq1EwjnotMPQVunR/HcLHqGjLDefvYu+xdaMnC4TTabptUxzWJlmNjLRBwXVfiLlHsJVXogeHi8YfHKAMkM1ZcZqvI4QOXkFTBgxlcLckb36HkD8rdfj8dDS0kJTU1N8qS6jqaEOV7jrc+m0GjIys8jMzCQrK4vs7OwOgudwREwh1hoi0hwg2tS21PuJNPhRvJEuj5H0GnRZFvQ5NvQ5VnQ5NrSq4OmEEAoez3aampfR3LwUt3sLhzrgx2PPzCMl5QySk2YfMwtqLBqhqWI/dXtLqC8rpaFsL00V5V0KHo1OR3LOIFIHFZAyKI/UQQWk5uV3clpubm6mpCQ+VXv//v0dRLler28fbho2bNgRh5u6QwhBtN5PYFcLwV0thCvcHBquWzZrybhjar9aGlVx0w0DKW5qnAFm/t+XaGWJkgfOOdhhH4htU3QufO+1o7qGEII7VtzBR2UfkWJK4a3z3yLZlHxgJ/zjfChfEZ+G/f23OsxYqtrVwtJXdrenSRg8IZU5lxZiTexj3A4h4F/fhr1fwojz4bJ/HbFoaF8ZNbffTnB7PJCV7cwFZNx9N9qU3k+NFEKwf8tG1rzzBtW7dgCgILPLWkjjkNk8fO3pDM+I/98KRVCyvp41/92Hpzk+RJSYYWb6hUMoGJfSpaiKRFy4XBtxOtfhdK3D7d7eyUdGkvTYbKNw2Mdht4/Dbh+L2NVC4yOPEtiwAQDZ4SDl+utI/P73+zW/yrGgek8ry17d3R7YK2d4IvO/PxxHamczczQapbq6mvLycvbv309lZSWRyMFOWJYjWK1OsrKiJCW50emrUZRqAhjZx1BKKaSEIkooxCt1/k0ONRuY4rAwxWhkokshrdxDeJ+baL2/U1nJqGnr4OOdvJRh4Cvfej4s/5CllUsJxQ6KpRxrDgvyFnBa7mmMTR171BG9gz4PDZs+on7HSurraqkXSdSRSqQLk57BYGgXOjk5OeTk5PSog4n5IkTrfUTq/ERqfYRrvUTqfF0Od0lGDfpcW3wZZEefa0Nj+d8LOBiJOGlpWdmWiHJ5J+uizTqK5JTTSEk+Dbt97AnzMhKLRmiqrKChbC8N5fto3L+Pxv1lnaaiH8BoT8CUk0fU6sAdUfAeloYmISGh3TqTl5eHtg8OzUooRmivk+DuFoK7Wom5Or58aNPNmIYnYRyehH6QPe5g34+o4qYbBlLc7Khxcd7jK0mxGlh/V1uMF0WBx8aAuwoueQlGHV2+p9d3vc4DXz+ARtLw/FnPMyn9MIetphL4+0yIheHiF2H0twn6Iqx+u5Ti1fGxVYtDz9zvFTF4fM8SUR6RksXwysUg6+DmtZA0uFMRIQStr71Gw8N/RASDyHY7Gb/7XZ+sNdFwmOJVS9nwwbvtTnoarZbRpy3EPHkBt3xYQaMnhF4rc9d5I7hiel77NWIRhe3Lq1n/UXl73J7MIQ5mXDSE5EExnM51tDrX4nSuxevdBYc5nOr1KTgck3A4JpLgmIjNNgpZ7iwKhRB4ly6l8dFHCZWUAqDNyCD1pzfj+Na32qMmn6j43WG+eqeUXV/FnctNNh2zLh5G4dSDpmpFUaivr6esrIx9+/axf//+DmIGwGQyMWjQIHJzc8nNzSUtI4PyiMImt5+Nbj/rW5zsCUZQDutIdCJMAXspZBeF7GKM7CMznIuhbjCG/fnofOntztIA2hQT+nw7hnw7+kF2tCmmI1orvGEvS6uW8sX+L1hZvZJg7ODD3663Myt7FnOy5zA7ezaJxqOMFht0w+6PUXa+R3PpBmpiDmpJp6ZtiXYxVJaYmEhOTk57m6Wnp/couquICaKNfsLVXsJVHiLVXsI13i4FjzbZiD7Pjj7PjiHPjjbNfMpZd4SI4fHsiIuZ5mW43Fs41KSg0VhJSpoVdwhOntfJH+xERigKzoY6mirKadxfTnV5GdWNjXgUiJltHfOjCQWN34spGibNYSMzO5vk7FwSs3JIysrBnpLao2TC0QY/wd2tBPe0EipzwSEpG9DKGIc4MA5PwliUhDZpYF/iVHHTDQMpblaVNvH9575mWJqVxbfNi28sWwH/WAQGO/yyBHR9/8/f1riNKz+5kqgS5ReTfsHVo6/uuuDS/4OlDyEs6ZTO+pQV71a3R5scPTeb6RcNwWA6yk42FoG/z4Km3TDjZjjrgU5FIg0N1P7mrvakhpaZM8h86CF06b17mPicrWz9/BM2f/YhfpcTAJ3RxJjTFzL5/IuwJcWtP03eEL96cwtLdsenfS8Ykc7DF48lyXLQOToUiLLhs42UFS/BkLQbc+oeDI7aTtc0mfJJSJhCgmMyCQmTMZnyeiXGRCyG693/0vjEE0TbHPb0Q4aQduvPsZ7Rda6k40ksorBlSSUbPion3JYvbNScLKZfOASjRYfH42Hfvn2Ulpayb98+fIc5RJrNZvLz88nPz2fQoEH4bA62eYNs9vjZ7Paz1RvAH+s8ZJTW0sTYkI9ZE8cxNiFCZvM6vPVrcYc2EzJUdiqvidixMoaEhCkk583EkTaux46dh+KP+FlVs4rP93/OqppVuEIHU31ISIxIHsG0zGlMz5zOxLSJGLVH8dAO+6D0cyh+H0o+IxZ000gy1WRQRSZV2gIao53jM+n1+naxM2jQIHJycjD0MBKziClE6vyEKz2EK9yEKz1Eu0hsKxk07UJHn2dHP8h2UjosB4O1cetMywpaWlZ1CqdgsQyL521KmkdCwmRkuX/jrxwrQqEQ5eXllJaWsnfvXlpaOg6PG/V6Eo06dH4v4bpKfI0NRzyXVqcnITOLxIwsEjOz2j87EtLRNBIXMyXOTtYZTZIRY2FiXNAMcSD1MQp5X1DFTTcMpLj5YGsNN7+6ian5SbxxY9t07P/eDJtehglXwLee6PZ4IQSxpiZCZWWIcATjqJHt2Y1bg61c+sGl1PnqWDBoAY/Of/TIHWQ0hOsv57OiYgH7Q5OB+FDM/B8MJ2towlHdYzQapbW1lZY1r+Ha8CZ+bTK+sVfhD0Xx+/1Eo1FisRgRp5NwfT1CUdAqCsbMTMw5Oeh0OsxmM1arFZvN1r5OSkrCZDo45CEUhYrtW9n6+ceUrl+DEoshIZGcksvY2WczZMRktEKLiCpti0DEFJAl1lS08v6OOnxCQWfSccFMI+OGVOMObcTpXEsgUN7pvoKubPTSOIaMOo3sQXMwGI7SqtWGEgrR+sqrND/9NDFXvAM1jh1L6k9/imX2rOMucoQQlG1uYtXbJbib4paM1EE2Zl4yhKjOTUlJCaWlpdTX13c4TqfTxYVMfgGanEHUGkxs9wbZ6gmwzevH3YXviwVBYWU5w3duZURZKeN0EqN+cguyKZfgnvib4aE+JTGtl1D2fsKDKvDbduON7ew0PKjRmHHYJ+BImEyCYzIOx/heT0WPKlG2NW1jedVyllctZ0/rno73KusYmzqWiWkTmZQ+iXGp47Dqe++jEL+pKFStg5JP45bP+vgwbQAD1aRTJeVSaSiiMuIgfJjfsiRJZGRktIudQYMG9eoZpvgjhCs9hPa7CVfERY8IH/b/JIMuyxoXO/l2DHkONPYTTwhEox5aW7+mpXUVLS2r8Ps7JtGNW2dmkpw0l+TkeRiNJ2fgxVgsRk1NDfv27WPv3r1UVVWhKIck+ZRlcnNzGTp0KMOGDevkDBwOBmiprqKlupLm6kpaa6ppqanCWVfT7s8joyHZmEW6KZ8MYz6JhgzkQyyqiqQQTVTQ5JmwjE7DMTQbXR/TnRwtqrjphoEUN/9as5+73t3OwpHpPHPl5Hhivj8VQsgNV38I+bM7HRPcvZuWf/6T0J4SwmVlnTJY63JyMI4ZzYeGPbyZvh9DXh6vL3odm75rR7doOMaGT/ez6ZNyYjGQiTBploFJ353bq2BKsViM5uZmamtrqauro66ujpaWFlwu1zcf3EfMZjMOux1NMESsthmLTyKNJFK0qTiMqegxdBiS6AqBIGKux5+4m0DCHgKJe4iYGw8rJGGKFmDXTsCoGU/lzhx2bY2iEI92PGJGBpPPK8DWjybWmMdD8/PP0/KPfyLaxsxNEyeS+rOfYZl+9Oky+kJNqZOv/7uvfRaUPkEhc6KEV2lk3759HeLJACRlZaMdPIxgWia1OhM7/EGKvQECXczsMcgSIy0mxtnNjHY2k/3KP0n97GM0AnS5o7GdezXoMolUezuMAEp6GcOQBIyFiRiGJsSHmdqHw0K4PdtxOdfjdK7H6VpPNNoxp40kabHZRrVb3ByOSej1vXPgb/A38HXt13xd+zVratdQ7+8o7GRJpiixiLGpYxmdMpqxKWPJd+R36BB6jLsG9i2DsmXxtacmfq9INJBMJTlUGEdQoaR16bCckJDQLnRyc3NJTU3tcaJCERNE6nyE97vjgqfc3ektHUCTbGy37Bjy7WhTj/1QViwWwOXaSEvrV7S2rsHj2YoQh6o/Cbt9LElJc0hOmoPdPg5ZPvn8i4QQNDQ0UFZWRllZGeXl5YRCHf9PEhMTGTJkCEOHDqWgoKDH1rz2ayiCUJUb99ZqgqWtSA0xJKXj/6cr3ERdoIy6QBmNwUpih8T4QZKwJiRiT03HnpoWX1IOrFOxJaegN/U91lV3qOKmGwZS3DzxZQl/+mwPl07O4eGLx8H2/8Bb14AjF27Z2mGKdKShgcbHH8f19n/aA8IBIMvosrORNJqDYf/bUAB59hQG/egmzNOmdVDoQgjKtzWz8o097W/gucn1zJXuI8EehuuXQMKgI9bd5/NRWVlJRUUFlZWV1NbWHjHeiF6KkiSaSTDpsIw4A7PFisViQa6owPv66winEwmJxPPOxXH++USJR74Mh8NEIhF8Ph9erxev14vH48HV4sQX7OwcegCT0JOsWEkRdlKFnQxTMla7DdmsA61C0FiG17QLv74Yr3Y7UY2z4wkUGYMnD3NrEebWIkythWgOHwaQIaCRafJFccUEbkWQMimdCWfnkZjRf0kzo01NND/3PK2vvdaeu8o8dSrJ11+PZdbMY2LJqS9z8/X7+6jY2URE7yJiakVO9OANxoVrTJJxmq34ElNQsnJx2ROplnVUhLqeqWOSZUZZjYy2mRlrMzHOZqbQbEQp20fjY4/hXfY1mrSRaDPHossZD6Jjp6PLsGAsSsRQmIghz47Uw8CRQij4fCVxx2/nOpyu9YRCdZ3Kmc0FOByTSHBMwuGYhNk8uMftLIRgv3s/G+o3sLFhIxvrN1LlrepUzqqzMjJ5JMOThjM8aTgjkkaQ78jvnZOyENBcCuUroeIr2P8VuA4GgHNhpZIsKjT5VGgKqA+bEIeJfaPRSE5OTrvYyc7O7lXiwqgzGBc75XGxE6nzHe5+hmTStokdG4Y8O7qc/h/KisX8uFyb2v3gXK7Nnax2JlM+SUmzSEqcRWLi9PZAeicTiqLQ2NjY7oy/f//+TkO+RqORgoIChgwZwuDBg0lKSurVNYQiiNT6CJW5CO11EipzIYIdzYKyVYdxaAKGoQnoCqx4Qy5c9bU462tx1tfhaqjH1RBfR4LdB/iE+BT2hPQsvv9gNyMMfUAVN90wkOLm/g928vzKMm6YO5g7Fw6JT5Fu2gNzfgln/BYAJRCg5aWXaHr2OURbBmrb2WdjP+ccDIML0OXlIbc9jLzN9fz51ZsJb9/J6AoYW3bQHGkoLCTpqitxnH8+dZUB1ry7t/0N3JpoYNbFwxgy2oL04tlQtxXSR8O1n4Ihbk73+XyUl5e3vx00NXWOT6LX60lPTyczM5OMjAxSUlJIWn0/ll1vIFnT41nNbRlEm5qo/8PDuN9/P35cQQFZf/g/TGM7pzgQiiBS7cWzow73tmo0zXGzaJgobimAW/LjlHy06n04tQFaIx3Df+t0QWy2JlJTPSQmtaDTVQMd32wkSY/DPo6EhMkkJExF0o/h6eW1vLuqArsiyEZmotXEzCQr2UJGaQwggp2FnBACtwKxBANpk9JJnpiGNtXULz/WSH0Dzc88g/ONN9qTgxpGjiDlRz/CtnDhgDge1+51svqDHZTt30dY34rH7MVlMeM02Wi1WHGa7XjsibToDShHsJBlGnSMsBgZYTUxum0ZbDagOaRN/Fu20vLifwnt96NNG4nmsJAEkkGDcVgCxqIkjIWJaBz9Y+IWQhAM1uByrW8XOz5fSadyWq0Dh2NCfDjLMQG7fWyvpvzW++rZ3LiZbY3b2Na0jZ3NOzs4Jx/AoDEw2DGYYYnDGJowtH1Jt6T33MrjqoKKNVC9Ib7UboFo/FohdFSRSQXZVEi5VJFBRHQUGZIkkZ6e3u6knJOTQ2JiYo+/w0ow2m7VCe+P++6IyOFDWRK6LAuGQXGfHf0gO5pEQ69+J6FwEy7XhrZZiuvxeLZ3iAgMYDBkkJg4g8TE6SQmzMBkyj7C2U5cotEotbW17S+R+/fvJ3DY7CetVkteXh4FBQUMHjyYjIyMHlvjAEQkRrjaS6jMTbjcRajcjQh1FDOSQYNhsAPD4ASMwxLQppt79P8lhCDgceNuqMfd1ICrsQF3Yz3uxgY8TY24mxvbAxQ60jP40ePP9bjePUEVN90wkOLmtjc285+N1fz67OH8WP8RfHYXmFPgpxvAlECopITKm28msj/+NmYcN5b0X9+BeeKETudqDbbyky9+wrambZi0Jh6b/xiTQpm0/utlnO+8iwgE8FoyKRtxKY3WePZxjVZm3Bk5TDonH72xrXN0VcEzpxHytbI/5yL2ZX+bsvLyTj4UACkpKe0m7pycHJKSkjr+qNb8HT65Ix6v56oPELnTcL7xBg2PPIri8YAkkXjFD0i79VbkQ/xnYp4wgd0tuDdXEy33Ikc7/lADUS8euRVDnoPMGaNIGJWLbNAQi/lpadlCbd0anK2bCYWLkeXmTvWORPR4vWnIciGJCVPIzZ3LoEGDO72xVrb4eeLLUv67pZpg2wPaZtBy4fgszh+cykiNFqXeT7jGS7DcDb7OlgqhlzEWODAUOOIzdLJtSEeROyVSW0vLSy/R+sab7cNVutxckq74AY4LL0RzlN/ReqebD1ftYN3+Guq0EVqtRlwmK06zlYD+yMNudq3McIuJIouRIouR4RYjIywmkvWdRZcQgkijH8+nG/Fv2A+adKTDHOd1WRaMhXExo8+zIfUyvkxfiUScuFybcLo24HJtwO3egqIcPvQiYbEMbZvSH5/Wb7UU9tjpNKpEKXWWUtxcTHFLMbtadrGrZReB6BGm7GqM5NnzyHfkU+AoYJBtELm2XHJsOSQbk7vvZGIRqN8BNZugblv8xaV+B0T8xJCoJ5UKsuIWHrLw0Fm0mY16srMyyR5UQE5ODllZWZjNPRtGEDGFSI0vLnjahrMUd+dUIrJVF5+CnhOfiq7LtrZPQ1eUMF7vLtzurbjcm3C5NhIIdE5RYDRmtzn1TyExcXqvnfpPBNxuN9XV1VRVVVFVVUV1dXUni7hOpyM3N5f8/Hzy8vLIzs7u8TRtIQQxVyjuQ3XAl6rG23FGEwcdx41D4oJGl2Xt92naBwj5/XiaG4kEg2QO698Ew6q46YaBFDfXvrSOL3c18Ni5GVy48gIIe+Fbf4MJP8Dz+efU3P5rFL8fbUYGab/6JfZzu54OXeer4/rF11PmKsNhcPDkGU8yNjVuBRFCUL2lmo3/3kRliymeS0go5Hi3MeVbhWR+52wkjaY99khZWRn7irdQVd+EQse3urS0NAoKCigoKGDQoEHdP+D2r47H0FGicPYfCFjnUHf/fQS3bAXAOHIkGffeg2nMGIQiCFd6cG2qIrCzCY274z2GY0EaghX4zT6sozLImzOJhCwHPt9uPN5ivN5iPJ4d+Hx76RAVqg2TaQgaeSh+fwZ1dRbKy0OEQoclbZNlMjMzO0xHttniD3qXP8KbGyp55esKypoOmoATzDpOH57GwpEZzB6WgikUo3lzIzVf1UJjgAQNaA///9JI6HNscaHTNh25L7FEoq2ttL76Kq0v/4uY0wmAZDRiP+9cEr/7XUxjxnR5XCCmUB0KUx2MUBkMs8/jY1eLkzJfkHoF/LruO+g0vZYhZgPDzEYKLUYKzUaGWQxk6HXddiTR1iChvU4CxQ0EdzdD9LCHsQhhGOLAPHFQ3DpzgjilHuhY48EYN+FybyIYrO5UTpL0WK1F2G2jsdnHYLOOxGIpRKPpmZVJEQqVnkpKW0spcZZQ6iylpLWECncFUXHkNA9mrZlsWzZZliyyrFlkWbLItGaSYckg3ZxOiiml81CXEoPmvdCwExqKobE4vm7ei0uYqCSLKjKpJJM6Uol1MQ09waCQ6TCSlZ5MZs4gMvKKsKbldZxa3AXtnWu7k3LHzlVIMcKWGoL2/YRTqwgmlhHQ70Nw+IuDhMUyrG3ocCIJCdNOOsuM3++npqaG2tpaampqqK6uxu12dyp3IEzCgSUzM7PHYibmCROu8RKpjAetDFd5ugzsKNt08aHDAgeGfAe6TMspMeVfFTfdMJDi5qInV7GpwsmqwtfJrngPsicjrvk0HpX3ifhMKfO0aWQ/9mc0Nkc8LkW5O/4F9UWIBSK4PS6igTAg8OgCZKZnY0l0IFl0tHgj7C5xUlHjb+/ycxN95K5+Bn3DXloTE2kePpyWEcOpafNvOZREnAymgoKp55E/97KeR6Vs3gsvngPeegKJZ9O0KxnvkiUAyBYLqT//Oaazz6dlfTmB4ia0jRLaw/wqWkK11If2E8sOkzjBQvJgC4qmHp+vFJ93D6FwZ0sSxE3RNtto7LbR2B0TsNvGotN1/H9TFIWGhgYqKiral64eKomJie2m+ZycHFJT01hT3sq7m2r4clc9rf5DAs9JMCLTzpT8JCblJTLCYaZpYxPVX9ViCcdI0kgkaSWMXTwwtCmm9mm1+kF2dGnmHr8lKX4/znffpfW112murqHZnkCzIwHXyFF4Jk2hdfBQ6nV6akIRqoMRmiPfnA/JGA6TGotR6LAwJi2JQruFwSYDQ8wGbNpv9pUQSjzWRajM1eaL4SJ2WAZgEYsQc5Whz9STcNFsTGPzT5qHaSjUiNuzFbdrM273VtyerZ0clQEkSYPZPBirdQQ263Asbek0jMasHgd+iygRqj3VlLvLKXeVU+4up9JTSaWnkjpfHaKbhJ4Qd2ZOMaaQZk4jxZxCqimVVFMqyaZkUkwpJBmT2heLpENy7ofmknj8q+YSos3l1DU5qfZrqSKDajJooeuYPla8ZGg9ZJiipFl1pCXZSElJQWtPB2s6WFLBnBxf6y2EI614fbvxunbhbtqB11OMX9mLkLrofCMWjK4CzMFh2PRjcSRMxJSRhi7TEnciP0aWvb6gKAotLS3U19e3L3V1dV1OtpAkibS0NHJycsjOziY3N5eUlK6Dhx6KiClEmwLxYI11PiI18dhFiqcLvzdZQpdhPjilvw/DgicLJ5W4efLJJ/njH/9IbW0to0aN4rHHHmPOnDlHLL9s2TJuu+02duzYQVZWFrfffjs33nhjj683kOLm9D8tJbl5A28a7gMkYpe9R+2Tb+JZHE+UmXD59ZinXRgfC63y9DiJ3uEoQuA2xvCkRWi1+qn1NVDbUMPh3ZxJlskfMoQhRUVxR7T1j8LqvwISTPkRnPE7MHbTBooC656Dz+8mUBehsSQTT3kUv16H32JFP/EMDKkjMPmt2OT4A1KgEDU48etraNbuIpTYgDYziM4RJEZDp/gTHeprGoTVOiLeedhGYreNwWBI63X7HEjKeCBabkVFBQ0NneM9aDQaMjMzyc7OJi09nRbFzFc1Eb7Y3cT+5s4OzglmHUWpVsYKPcl1YWINQSwyJGklUnQyaWYtxsP9EWjLYZRlQcmx4suy4EnW47JqaY0pNEeiNIejNIajNEYi8XU4SmM4QrCb/EKHoo1FsQX9WEMBbAEfCf4IiR6JPK2NuaOHMnvOYLQ9dPgUiiDWGjwYEK7KS7ja22nMXigxlNZyok270FhD2M+ZjuP8c9HYjl/Cz/4injusAo9nOx7Pdtye7Xi9xUQirV2W12jMWMxDsViGxhOhmgswmwswm/LQaHqeODAcC1PjraHKW0WNt4ZaXy013hpqvDXU++tp9Dd2a/U5HL2sJ8GQgMPoINGQiMPgiC96B3atGXs0jD3sx+DxEGv24m8N4fRAc9BEq7BCF35XElHSjXWkmmpxmFowmj3I5iBRs0JE33VnqkGPTc7CHMvH6B+GoaUIqS6NWGvn3woAsoQ2xRhPFppmRptmbk8iKpu1x6zTDoVCtLa20tzc3J7YtbGxkebm5iNOtkhKSiIr62CqjaysrG5nMymhKNHGeIqNSGOAaKOfSL2faFOg09ASAFLby1O2Fd2B6NOZlmMaa+Z4ctKIm3//+99cccUVPPnkk8yaNYunn36a5557jp07dzJoUOeZPWVlZYwePZrrrruOG264gVWrVnHTTTfx2muv8Z3vfKdH1xxIcTP53o95OXY7wyKVtLhn0rqmASHM6AZNwzThXJRAR9OjMEs0JntZq9nC9nAxQaIkkcUM++nYnGm0lLnQiAhCGySmCRA1+PFrvLTgISB1Huc2SDoyJTOp1XWklO7CVrMX2aDDOmc21tNOxzp3NtqvHognuQSwZ8N5j0LR2fH6CEHI58PvduGt2EHrO4/StLcBp8+MYkrFmJ6BNSERm82M0axBMXiIGpxEja1EDU7ChiZiRifIR3hoHainIQOLZVjbEu8UrJYitNo+xg7pAYFAgOrqaioqKqiurqa6uppgsLMTqCzLpKamYktIxi+bqAno2N6qsKUlRljWIjQyaCXQSJhlmUy0pEoadFqZkFYirJdQDBIxo0xEL+PXglsr4dZJhPswxm0WCtZICKPfizEYwBIKYA0FsISDWIMBrMEAlqAefdiONmIn0ZzGqOn5FE3LICH9yMOMIqoQdYaItQSJNPjjuYvqfETq/YjDA6wAIhoi1rKXWHMpseYSEK3Yz1pAwiUXYxwxotf3dbIhhCAUrsfraRs29Rbj85Xg95cjRNezyAD0+lRMxhyMppz42piNwZCBwZCOwZCOTpfUc+deodASbKHeV0+9v56mQBNNgSYaA400+ZtoCbbQHGymJdhyRH+fb0IvCewaQZqsJVe2ki5pSZQENm0Yiz6A0ejrMk/YAYIBE2G/CcWvQeMHgzeCLeQnAR8O4cOIgl6ATgi0ihEhBhNhCBFpKBEln0g0GyGOLAYkbRStNYLWGkNjldDYJbR2HRqHDo3dhGwzIOlNoDXEF42+bW3oMFs1LmADeL1eXC5Xh6W1tZWWlpZOs5YORavVkpaWRnp6evuSkZFxWKwugeKPEHOH44srRKw1SLQlGE+S2hJE6cKvr/1eDRp06WZ0GfEEqbosK7pMy0kZZLG/OGnEzbRp05g4cSJ///vf27eNGDGCCy+8kIceeqhT+V//+te89957FLdlkwa48cYb2bJlC1999VWPrjlQ4sbldfPHx+5hktuFHM5Aa0xGa0lBozMhiMdfiUngMQap0TVTFW7AG42gF3r0MT3GmAWN0CIkBSFFEZooiiZymFCI/1fFn4UCq9ZEgmwhMWwkIWbGgh4JgZBiCEkgRIRIpJVIzENU8RBVfESNAsUQRVFcKHKYqEag6DXxcRiNQKMTyFolvtbHkHRxcaVoDnR40mG14ZDpqG1rSYtOl4bRkIbemIHBkI3BmI3RmIXekIVGc6BN4lao+BoUBELEvWwUIdrXgvhLTEwIYm3b45/j62j7QvvniNK2bvscPmQdVhRCisAbDOLyB/AEQ/giEQLRGGFJIiZriMoyUY2WqKxB6cVMhW9CowhskRi2cAxLJII5EsEYCWMIB9BFfGgiPgyRIOZwfNEeErALAfqYGUPUij5iRRe1YojYsPoacDhLSHKWYom0INKzEek5iNRMZFsystaMLBuRhQ5NVEb2K8iBwycRH3IZJYbiqiTmLCfWuh/FWY7iqYXsHOTZc9HMmYc0agxym5/Aoec5vJ/uKi5RX1+8T0QruxARwqFKwoFSwqFywqH9hIPlhEPlKLHOQ1uHI0k6NNpENNqktnXborEiyzZkjQVZY0WWzUiyAVkyIMkGJEnfNhQmgyQjISNQQMQQIkoo6sMTacUXasYfaSEYcRKIOIlE3cRiLkTMi6T4kEUAAyGMUhiLFEXfg696VAFX2IAnaCHoTyDsTSLmSyXgdxCLHdnfTEEhpAkRlsOENKG2zyEUKYyQIyhyBIhgU4wkRx2kRhNJjaaQGk0hMZKETUlAIv6dOvBMVVBQECgIosQIS1ECkhe/7CUo+whKYUKECUsRIiiEkYggExUaBN98s1o5ikETwaSNYtEKLFqwaiXMkh4dRrQxAxrFiCamRxs1tS1GtFEjmogRWXyzEInqQ0TMgfhiCRC2xpeYKRpPjyDJ8V+RJMeFsKRp+11JIElIkoQgvj64XT44VCodUvaQ4w4+r9ta9cB5DrTLIb+3+LkOlu/4u45/FlLHbTqtnnEjF3zj/feGk0LchMNhzGYzb775JhdddDDf0i233MLmzZtZtmxZp2Pmzp3LhAkT+Mtf/tK+7Z133uHSSy/F7/ej03X+YYVCoQ5BkNxuN7m5uf0ubj76x7NcO2hKv51P5cRDEgq6aBRdLIpOiaGLRtHHouhiEfRt2w3RCIZoBH37OowxEsEQDWOMhNEqsW8IQwgIsAkTCcJMgrDgEGYSFQtJwoquC2fQviKiIRR/E4q3AcVdHV88NSjeBhAx9tvSKU7KY1diHtuTC6i2pp6YCuMExaL1kWJqJsXU0rZuJsnUSqLBRYLBhcPg+eaTHAdCMR0tQQetIRstYQutYRPNIQtNYRNNYSOumAxyBKQIkhxGksNopChWRcKiSFiFFktMh0XRYYrpMCkGjDE9cg/ExLHGILRYhBGLMGIVBqzCiFWYcAgTdmFG3w+/t1aNm2atk2adi3pdM/W6Zup0zdTrm6jVNeHXdLYgnwokRxWW/nBHv56zN+LmuGXxa2pqIhaLkX5YnqH09HTq6joH4gKoq6vrsnw0GqWpqYnMzMxOxzz00EPce++9/VfxIxBN1KITnYeKTiwO6G0BQjpka+dPEFfr8TeFQ1R/pzfzg5skDvZ9h2r7rrZLEsgH/j7wWQK5bb9GkpDbLqeR4u8SB7ZpJAkNEhopPntJK0nxbRLo5PjfurbtOjn+WSdL6Nu2GWUZvSyhlyUMsoxBjm8zyBImWcaokTHJEiaNjEmWMWlkpHCIoMeD2+3G7Xbjcrnw+/0EQgECgQDBYJBAIEAsFkNRFGKxGLFY3Nql1WqRNTJCMiEUCUnokBQtxLQQ0SBFtciKEVkxohcGbBgwajXotRIGjYQsQ1ADdXL8B6tXQB8TyKKtbdtfTwQRBDElgoiGkSIBiPhRQh4IOpH9rciBVsLBVoIhN6FYkIhGh09votGSTGNyKg2DhtNoTWJ/Yja+NqsjxOPL2dveg0T7Px05WFZwhCKdj+nyPAP3vnUsX+Wi2KgL2KgL5He5XyNFcRjcWHUerDovNr0Xq86LRefDpA1g0gYxaQMYtQH0cgSdHEErR9BrImilKJIkkBDIkoIsKShCRhEyMaFpX4djesKKjnDMQDimIxgz4o+aCUTM+KMm/BEznogNd9iGJ2zHHbYRihnoyt/mAIfvEUAUcLYtXR8jMBLBSBiDFMYghdo+R9BJUXTE0BFDTwwNChpEh+XAdQ+1GwviVl4hxa2+sbZCEjIaJLRo0CJjEBqM6DAJLWZhwCr0WIUemzBhFno0QkaDjFbIaNAg0XY+KYaPCEISRKToIUuEsBTGLwcJykH8cpCAHMCr8eGRfXg0HjwaLy6NB6fWRUyKceDXIDoM6QmsMbDENO37kdpLdmjf9s9S19s7b+vik3Tk4w4v25MyHeji62IQx1fMHvcUxYePNwshuh2D7qp8V9sPcOedd3Lbbbe1/33ActPfXHDBNSzcsxdtihZtUl6/n1/lOKPTgsVCRkbG8a6JioqKiso3cNzETUpKChqNppOVpqGhoZN15gAZGRldltdqtSQnd50/xmAw9Dr3Rl8xFg45JtdRUVFRUVFROTLHzW6k1+uZNGkSixcv7rB98eLFzJw5s8tjZsyY0an8Z599xuTJk7v0t1FRUVFRUVH53+O4DorddtttPPfcc7zwwgsUFxdz6623UlFR0R635s477+TKK69sL3/jjTeyf/9+brvtNoqLi3nhhRd4/vnn+eUvf3m8bkFFRUVFRUXlBOO4+txcdtllNDc3c99991FbW8vo0aP56KOPyMuL+6wcSDB2gIKCAj766CNuvfVW/va3v5GVlcXjjz/e4xg3KioqKioqKqc+xz1C8bFmIIP4qaioqKioqAwMvem/T7zAAyoqKioqKioqR4EqblRUVFRUVFROKVRxo6KioqKionJKoYobFRUVFRUVlVMKVdyoqKioqKionFKo4kZFRUVFRUXllEIVNyoqKioqKiqnFKq4UVFRUVFRUTmlUMWNioqKioqKyinFcU2/cDw4EJDZ7XYf55qoqKioqKio9JQD/XZPEiv8z4kbj8cDQG5u7nGuiYqKioqKikpv8Xg8OByObsv8z+WWUhSFmpoabDYbkiT167ndbje5ublUVlaqeasGELWdjw1qOx8b1HY+dqhtfWwYqHYWQuDxeMjKykKWu/eq+Z+z3MiyTE5OzoBew263qz+cY4DazscGtZ2PDWo7HzvUtj42DEQ7f5PF5gCqQ7GKioqKiorKKYUqblRUVFRUVFROKVRx048YDAbuvvtuDAbD8a7KKY3azscGtZ2PDWo7HzvUtj42nAjt/D/nUKyioqKioqJyaqNablRUVFRUVFROKVRxo6KioqKionJKoYobFRUVFRUVlVMKVdyoqKioqKionFKo4qaXPPnkkxQUFGA0Gpk0aRIrVqzotvyyZcuYNGkSRqORwYMH89RTTx2jmp7c9Kad//Of/3DmmWeSmpqK3W5nxowZfPrpp8ewticvvf0+H2DVqlVotVrGjx8/sBU8RehtO4dCIX7zm9+Ql5eHwWBgyJAhvPDCC8eoticvvW3nV155hXHjxmE2m8nMzOSaa66hubn5GNX25GT58uWcf/75ZGVlIUkS77777jcec1z6QaHSY15//XWh0+nEs88+K3bu3CluueUWYbFYxP79+7ssv2/fPmE2m8Utt9widu7cKZ599lmh0+nEW2+9dYxrfnLR23a+5ZZbxB/+8Aexdu1asWfPHnHnnXcKnU4nNm7ceIxrfnLR23Y+gNPpFIMHDxYLFy4U48aNOzaVPYnpSztfcMEFYtq0aWLx4sWirKxMfP3112LVqlXHsNYnH71t5xUrVghZlsVf/vIXsW/fPrFixQoxatQoceGFFx7jmp9cfPTRR+I3v/mNePvttwUg3nnnnW7LH69+UBU3vWDq1Knixhtv7LBt+PDh4o477uiy/O233y6GDx/eYdsNN9wgpk+fPmB1PBXobTt3xciRI8W9997b31U7pehrO1922WXirrvuEnfffbcqbnpAb9v5448/Fg6HQzQ3Nx+L6p0y9Lad//jHP4rBgwd32Pb444+LnJycAavjqUZPxM3x6gfVYakeEg6H2bBhAwsXLuywfeHChaxevbrLY7766qtO5c866yzWr19PJBIZsLqezPSlnQ9HURQ8Hg9JSUkDUcVTgr6284svvsjevXu5++67B7qKpwR9aef33nuPyZMn8/DDD5OdnU1hYSG//OUvCQQCx6LKJyV9aeeZM2dSVVXFRx99hBCC+vp63nrrLc4777xjUeX/GY5XP/g/lzizrzQ1NRGLxUhPT++wPT09nbq6ui6Pqaur67J8NBqlqamJzMzMAavvyUpf2vlwHnnkEXw+H5deeulAVPGUoC/tXFJSwh133MGKFSvQatVHR0/oSzvv27ePlStXYjQaeeedd2hqauKmm26ipaVF9bs5An1p55kzZ/LKK69w2WWXEQwGiUajXHDBBfz1r389FlX+n+F49YOq5aaXSJLU4W8hRKdt31S+q+0qHeltOx/gtdde45577uHf//43aWlpA1W9U4aetnMsFuPyyy/n3nvvpbCw8FhV75ShN99nRVGQJIlXXnmFqVOncu655/Loo4/y0ksvqdabb6A37bxz505+9rOf8bvf/Y4NGzbwySefUFZWxo033ngsqvo/xfHoB9XXrx6SkpKCRqPp9BbQ0NDQSZUeICMjo8vyWq2W5OTkAavryUxf2vkA//73v/nhD3/Im2++yYIFCwaymic9vW1nj8fD+vXr2bRpEzfffDMQ74SFEGi1Wj777DNOP/30Y1L3k4m+fJ8zMzPJzs7G4XC0bxsxYgRCCKqqqhg2bNiA1vlkpC/t/NBDDzFr1ix+9atfATB27FgsFgtz5szh97//vWpZ7yeOVz+oWm56iF6vZ9KkSSxevLjD9sWLFzNz5swuj5kxY0an8p999hmTJ09Gp9MNWF1PZvrSzhC32Fx99dW8+uqr6ph5D+htO9vtdrZt28bmzZvblxtvvJGioiI2b97MtGnTjlXVTyr68n2eNWsWNTU1eL3e9m179uxBlmVycnIGtL4nK31pZ7/fjyx37AI1Gg1w0LKgcvQct35wQN2VTzEOTDV8/vnnxc6dO8XPf/5zYbFYRHl5uRBCiDvuuENcccUV7eUPTIG79dZbxc6dO8Xzzz+vTgXvAb1t51dffVVotVrxt7/9TdTW1rYvTqfzeN3CSUFv2/lw1NlSPaO37ezxeEROTo64+OKLxY4dO8SyZcvEsGHDxI9+9KPjdQsnBb1t5xdffFFotVrx5JNPir1794qVK1eKyZMni6lTpx6vWzgp8Hg8YtOmTWLTpk0CEI8++qjYtGlT+5T7E6UfVMVNL/nb3/4m8vLyhF6vFxMnThTLli1r33fVVVeJefPmdSi/dOlSMWHCBKHX60V+fr74+9//foxrfHLSm3aeN2+eADotV1111bGv+ElGb7/Ph6KKm57T23YuLi4WCxYsECaTSeTk5IjbbrtN+P3+Y1zrk4/etvPjjz8uRo4cKUwmk8jMzBTf//73RVVV1TGu9cnFkiVLun3enij9oCSEan9TUVFRUVFROXVQfW5UVFRUVFRUTilUcaOioqKioqJySqGKGxUVFRUVFZVTClXcqKioqKioqJxSqOJGRUVFRUVF5ZRCFTcqKioqKioqpxSquFFRUVFRUVE5pVDFjYqKioqKikqXLF++nPPPP5+srCwkSeLdd98d0Ot5PB5+/vOfk5eXh8lkYubMmaxbt67X51HFjYqKSp85Fg+7k4G5c+fy6quvHtU5nnjiCS644IJ+qpGKSv/g8/kYN24cTzzxxDG53o9+9CMWL17Myy+/zLZt21i4cCELFiygurq6dyca8BjIKioqJxVXXXVVe0h1rVYr0tLSxIIFC8Tzzz8vYrFYh7K1tbUiGAz26LyAeOeddwagxseX999/XwwbNqxT2/SWYDAoMjIyxIoVK/qpZioq/UtXv+FQKCR+9atfiaysLGE2m8XUqVPFkiVL+nR+v98vNBqN+OCDDzpsHzdunPjNb37Tq3OplhsVFZVOnH322dTW1lJeXs7HH3/Maaedxi233MKiRYuIRqPt5TIyMjAYDMexpseGcDh8xH2PP/4411xzTacM073FYDBw+eWX89e//vWozqOiciy55pprWLVqFa+//jpbt27lkksu4eyzz6akpKTX54pGo8RiMYxGY4ftJpOJlStX9u5kfZJXKioqpyxXXXWV+Na3vtVp+xdffCEA8eyzz7Zv45A3uVAoJH7yk5+IjIwMYTAYRF5ennjwwQeFEELk5eV1SLKXl5cnhBCitLRUXHDBBSItLU1YLBYxefJksXjx4g7XzcvLEw888IC45pprhNVqFbm5ueLpp5/uUKayslJcdtllIjExUZjNZjFp0iSxZs2a9v3vvfeemDhxojAYDKKgoEDcc889IhKJfGMbPPjggyIzM7O9vofT2NgoJEkS27dv77AdEE899ZQ477zzhMlkEsOHDxerV68WJSUlYt68ecJsNovp06eL0tLSDsctXbpU6PV6NUmmygkJh1luSktLhSRJorq6ukO5M844Q9x55519usaMGTPEvHnzRHV1tYhGo+Lll18WkiSJwsLCXp1HtdyoqKj0iNNPP51x48bxn//8p8v9jz/+OO+99x5vvPEGu3fv5l//+hf5+fkA7Q6BL774IrW1te1/e71ezj33XD7//HM2bdrEWWedxfnnn09FRUWHcz/yyCNMnjyZTZs2cdNNN/HjH/+YXbt2tZ9j3rx51NTU8N5777FlyxZuv/12FEUB4NNPP+UHP/gBP/vZz9i5cydPP/00L730Eg888EC39/vFF19QXFzM4sWL+eCDD7oss3LlSsxmMyNGjOi07/777+fKK69k8+bNDB8+nMsvv5wbbriBO++8k/Xr1wNw8803dzhm8uTJRCIR1q5d223dVFROBDZu3IgQgsLCQqxWa/uybNky9u7dC0B5eTmSJHW7HPo7ePnllxFCkJ2djcFg4PHHH+fyyy9Ho9H0qm7afr1TFRWVU5rhw4ezdevWLvdVVFQwbNgwZs+ejSRJ5OXlte9LTU0FICEhgYyMjPbt48aNY9y4ce1///73v+edd97hvffe6/DAO/fcc7npppsA+PWvf82f//xnli5dyvDhw3n11VdpbGxk3bp1JCUlATB06ND2Yx944AHuuOMOrrrqKgAGDx7M/fffz+23387dd999xHu1WCw899xz6PX6I5YpLy8nPT29yyGpa665hksvvbS9zjNmzOC3v/0tZ511FgC33HIL11xzTadrJiQkUF5ezrx58454XRWVEwFFUdBoNGzYsKGT+LBarQBkZ2dTXFzc7XkSExPbPw8ZMoRly5bh8/lwu91kZmZy2WWXUVBQ0Ku6qeJGRUWlxwghkCSpy31XX301Z555JkVFRZx99tksWrSIhQsXdns+n8/HvffeywcffEBNTQ3RaJRAINDJcjN27Nj2z5IkkZGRQUNDAwCbN29mwoQJ7cLmcDZs2MC6des6WGpisRjBYBC/34/ZbO7yuDFjxnQrbAACgUAn/4Cu6pyent5+zkO3BYNB3G43dru9fbvJZMLv93d7XRWVE4EJEyYQi8VoaGhgzpw5XZbR6XQMHz681+e2WCxYLBZaW1v59NNPefjhh3t1vCpuVFRUekxxcfER36AmTpxIWVkZH3/8MZ9//jmXXnopCxYs4K233jri+X71q1/x6aef8qc//YmhQ4diMpm4+OKLOznw6nS6Dn9LktQ+7GQymbqts6Io3HvvvXz729/utO9IwgTiD9dvIiUlhdbW1i73HVrnA4Kwq20H7uMALS0t7ZYuFZXjjdfrpbS0tP3vsrIyNm/eTFJSEoWFhXz/+9/nyiuv5JFHHmHChAk0NTXx5ZdfMmbMGM4999xeX+/TTz9FCEFRURGlpaX86le/oqioqJOV85tQxY2KikqP+PLLL9m2bRu33nrrEcvY7XYuu+wyLrvsMi6++GLOPvtsWlpaSEpKQqfTEYvFOpRfsWIFV199NRdddBEQf5CWl5f3ql5jx47lueeea7/O4UycOJHdu3d3GKrqLyZMmEBdXR2tra0dTOt9Ze/evQSDQSZMmNAPtVNROXrWr1/Paaed1v73bbfdBsBVV13FSy+9xIsvvsjvf/97fvGLX1BdXU1ycjIzZszok7ABcLlc3HnnnVRVVZGUlMR3vvMdHnjggU4vON+EKm5UVFQ6EQqFqKurIxaLUV9fzyeffMJDDz3EokWLuPLKK7s85s9//jOZmZmMHz8eWZZ58803ycjIICEhAYD8/Hy++OILZs2ahcFgIDExkaFDh/Kf//yH888/H0mS+O1vf9vJkvFNfO973+PBBx/kwgsv5KGHHiIzM5NNmzaRlZXFjBkz+N3vfseiRYvIzc3lkksuQZZltm7dyrZt2/j9739/VO00YcIEUlNTWbVqFYsWLTqqc0Fc7A0ePJghQ4Yc9blUVPqD+fPnE58o1TU6nY57772Xe++9t1+ud+mll7b7qh0N6mwpFRWVTnzyySdkZmaSn5/P2WefzZIlS3j88cf573//e8RZC1arlT/84Q9MnjyZKVOmUF5ezkcffdTubPvII4+wePFicnNz2y0Tf/7zn0lMTGTmzJmcf/75nHXWWUycOLFXddXr9Xz22WekpaVx7rnnMmbMGP7v//6vvZ5nnXUWH3zwAYsXL2bKlClMnz6dRx99tIPDc1/RaDRce+21vPLKK0d9LoDXXnuN6667rl/OpaLyv4wkupNkKioqKirdUl9fz6hRo9iwYcNRCabt27dzxhlnsGfPHhwORz/WUEXlfw/VcqOioqJyFKSnp/P88893muHVW2pqavjnP/+pChsVlX5AtdyoqKioqKionFKolhsVFRUVFRWVUwpV3KioqKioqKicUqjiRkVFRUVFReWUQhU3KioqKioqKqcUqrhRUVFRUVFROaVQxY2KioqKiorKKYUqblRUVFRUVFROKVRxo6KioqKionJKoYobFRUVFRUVlVOK/w/YYZfLvKvVCAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ploting Electron radial density distribution\n",
    "r = []\n",
    "for temp in range(len(nl_list)):\n",
    "    r_temp = [x_list[temp][i]**2*(y_list[temp][i]**2) for i in range(len(x_list[temp]))]\n",
    "    r.append(r_temp)\n",
    "    plt.plot(x_list[temp], r_temp, label='n={0}, l={1}'.format(nl_list[temp][0], nl_list[temp][1]))\n",
    "plt.xlabel('Distance r (m)')\n",
    "plt.ylabel('Density distribution')\n",
    "plt.title('Radial density distribution of hydrogenlike atoms')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8b302bb3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Spherical harmonics\n",
    "# 输入量子数l和m，以及对应的空间坐标theta, phi，得到对应球谐函数数值\n",
    "def Spherical(l, m, theta, phi):\n",
    "    normal_u = (2*l+1)*math.factorial(l-m)\n",
    "    normal_l = 4*math.pi*math.factorial(l+m)\n",
    "    normal = (-1)**m*math.sqrt(normal_u/normal_l)\n",
    "    # s_1 = math.exp(i*m*phi)\n",
    "    s_1 = math.cos(m*phi)\n",
    "    s_2 = associate_legendre(l, m, math.cos(theta))\n",
    "    return normal*s_1*s_2\n",
    "    \n",
    "# ploting Spherical harmonics\n",
    "# 输入量子数l和m，得到对应一个球谐函数的数据列表\n",
    "def plot_ml(m, l):\n",
    "    theta, phi = np.linspace(0, np.pi, 100), np.linspace(0, 2*np.pi, 100)\n",
    "    temp = []\n",
    "    for t in theta:\n",
    "        for p in phi:\n",
    "            r = Spherical(l,m,t,p)**2\n",
    "            temp.append([t, p, r])\n",
    "    x = [temp[i][2]*math.sin(temp[i][0])*math.cos(temp[i][1]) for i in range(len(temp))]\n",
    "    y = [temp[i][2]*math.sin(temp[i][0])*math.sin(temp[i][1]) for i in range(len(temp))]\n",
    "    z = [temp[i][2]*math.cos(temp[i][0]) for i in range(len(temp))]\n",
    "    return x, y, z"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f6ce53fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 921.6x691.2 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.special as spe\n",
    "import scipy.constants as const\n",
    "\n",
    "def cart2sph(x, y, z):\n",
    "    r = np.sqrt(x**2 + y**2 + z**2)\n",
    "    theta = np.arccos( z / r )\n",
    "    phi = np.arctan(y / x)\n",
    "    return np.array([r, theta, phi])\n",
    "\n",
    "def R_nl(r,n=1,l=0):\n",
    "    a0 = const.value(u\"Bohr radius\")\n",
    "    coeff = np.sqrt(\n",
    "        (2.0/(a0*n))**3 * \n",
    "        spe.factorial(n-l-1) /(2.0*(n)*spe.factorial(n+l)))\n",
    "    laguerre = spe.assoc_laguerre(2.0*r/(a0*n),n-l-1,2*l+1)\n",
    "    return coeff * np.exp(-r/(a0*n)) * (2.0*r/(a0*n))**l * laguerre\n",
    "\n",
    "def wave_function(r, theta, phi, n, l, m):\n",
    "    return R_nl(r, n, l) * spe.sph_harm(m, l, phi, theta)\n",
    "\n",
    "def ab(n, l):\n",
    "    if l < n // 2:\n",
    "        a = -1e-10 * (n + l)\n",
    "    else:\n",
    "        a = -1e-10 * n**2\n",
    "    return a, -a\n",
    "\n",
    "n = 4 # n = 1, 2, 3 ...\n",
    "l = 3 # l = 0, 1, ... , n-1\n",
    "m = 1 # m = -l, -l+1, ... -1, 0, 1, ... l-1, l\n",
    "\n",
    "a, b = ab(n, l)\n",
    "x = np.linspace(a, b, 1000)\n",
    "y = 0\n",
    "z = np.linspace(a, b, 1000) \n",
    "X, Z = np.meshgrid(x, z)\n",
    "\n",
    "r, theta, phi = cart2sph(X, y, Z)\n",
    "psi = wave_function(r, theta, phi, n, l, m)\n",
    "density = np.abs(psi)**2\n",
    "\n",
    "fig = plt.figure(dpi = 144)\n",
    "ax = fig.gca()\n",
    "ax.imshow(density, cmap = \"terrain\")\n",
    "plt.title('n = {0}, l = {1}, m = {2}'.format(n, l, m))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b316ad20",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
